Number

132

132 is a composite number, even, a calendar year.

132 (one hundred thirty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11. Its proper divisors sum to 204, more than the number itself, making it an abundant number. It is a Catalan number. Written other ways, in Roman numerals it is CXXXII and in binary, 10000100.

Abundant Number Arithmetic Number Catalan Number Cube-Free Evil Number Gapful Number Harshad / Niven Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Refactorable Number Self Number Semiperfect Number Year Zuckerman Number

Interestingness

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12 notable facts · grade A

120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144

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Historical context — 132 AD

Calendar year

Year 132 (CXXXII) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 132 BC

Calendar year

Year 132 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Tuesday
January 1, 132
Ended on: Wednesday
December 31, 132
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 130s
130–139
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,894
1894 years before 2026.

In other calendars

Hebrew: 3892 / 3893 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 675 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 124 / 125 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 54 / 53 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 6
Digital root: 6
Palindrome: No
Bit width: 8 bits
Reversed: 231
Recamán's sequence: a(136) = 132
Square (n²): 17,424
Cube (n³): 2,299,968
Divisor count: 12
σ(n) — sum of divisors: 336
φ(n) — Euler's totient: 40
Sum of prime factors: 18

Primality

Prime factorization: 2 ² × 3 × 11

Nearest primes: 131 (−1) · 137 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 (half) · 132

Aliquot sum (sum of proper divisors): 204

Factor pairs (a × b = 132)

1 × 132

2 × 66

3 × 44

4 × 33

6 × 22

11 × 12

First multiples

132 · 264 (double) · 396 · 528 · 660 · 792 · 924 · 1,056 · 1,188 · 1,320

Sums & aliquot sequence

As consecutive integers: 43 + 44 + 45 13 + 14 + … + 20 7 + 8 + … + 17

Aliquot sequence: 132 → 204 → 300 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√132 = [11; (2, 22)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-two
Ordinal: 132nd
Roman numeral: CXXXII
Binary: 10000100
Octal: 204
Hexadecimal: 0x84
Base64: hA==
One's complement: 123 (8-bit)
Scientific notation: 1.32 × 10²
As a duration: 132 s = 2 minutes, 12 seconds

In other bases

ternary (3) 11220

quaternary (4) 2010

quinary (5) 1012

senary (6) 340

septenary (7) 246

nonary (9) 156

undecimal (11) 110

duodecimal (12) b0

tridecimal (13) a2

tetradecimal (14) 96

pentadecimal (15) 8c

As an angle

132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ρλβʹ
Mayan (base 20): 𝋦·𝋬
Chinese: 一百三十二
Chinese (financial): 壹佰參拾貳

In other modern scripts

Eastern Arabic ١٣٢ Devanagari १३२ Bengali ১৩২ Tamil ௧௩௨ Thai ๑๓๒ Tibetan ༡༣༢ Khmer ១៣២ Lao ໑໓໒ Burmese ၁၃၂

Digit at this position in famous constants

π — Pi (π): Digit 132 = 5
e — Euler's number (e): Digit 132 = 2
φ — Golden ratio (φ): Digit 132 = 2
√2 — Pythagoras's (√2): Digit 132 = 5
ln 2 — Natural log of 2: Digit 132 = 5
γ — Euler-Mascheroni (γ): Digit 132 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132, here are decompositions:

5 + 127 = 132
19 + 113 = 132
23 + 109 = 132
29 + 103 = 132
31 + 101 = 132
43 + 89 = 132
53 + 79 = 132
59 + 73 = 132

Showing the first eight; more decompositions exist.

Unicode codepoint

U+0084

Control character (Cc)

UTF-8 encoding: C2 84 (2 bytes).

Lookup U+0084 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000084

RGB(0, 0, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.132.

Address: 0.0.0.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.132

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 132 Hz is closest to:

Concert pitch (A4 = 440 Hz): C3 (130.8 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): C♯3 (135.6 Hz, -47¢ — about midway to C3)
Baroque pitch (A4 = 415 Hz): C♯3 (130.7 Hz, +17¢)

Food additive (E-number)

On an ingredients label, E132 is Indigotine (indigo carmine), a food colour.

E-number reference (Wikipedia) ↗