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135,132

135,132 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

135,132 (one hundred thirty-five thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,261. Its proper divisors sum to 180,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FDC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
231,531
Square (n²)
18,260,657,424
Cube (n³)
2,467,599,159,019,968
Divisor count
12
σ(n) — sum of divisors
315,336
φ(n) — Euler's totient
45,040
Sum of prime factors
11,268

Primality

Prime factorization: 2 2 × 3 × 11261

Nearest primes: 135,131 (−1) · 135,151 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11261 · 22522 · 33783 · 45044 · 67566 (half) · 135132
Aliquot sum (sum of proper divisors): 180,204
Factor pairs (a × b = 135,132)
1 × 135132
2 × 67566
3 × 45044
4 × 33783
6 × 22522
12 × 11261
First multiples
135,132 · 270,264 (double) · 405,396 · 540,528 · 675,660 · 810,792 · 945,924 · 1,081,056 · 1,216,188 · 1,351,320

Sums & aliquot sequence

As consecutive integers: 45,043 + 45,044 + 45,045 16,888 + 16,889 + … + 16,895 5,619 + 5,620 + … + 5,642
Aliquot sequence: 135,132 180,204 240,300 540,900 1,157,342 602,674 304,634 204,262 122,330 115,054 57,530 55,654 27,830 29,626 14,816 14,416 15,716 — unresolved within range

Continued fraction of √n

√135,132 = [367; (1, 1, 1, 1, 12, 1, 1, 8, 4, 3, 1, 1, 30, 14, 1, 34, 13, 9, 1, 182, 1, 9, 13, 34, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred thirty-two
Ordinal
135132nd
Binary
100000111111011100
Octal
407734
Hexadecimal
0x20FDC
Base64
Ag/c
One's complement
4,294,832,163 (32-bit)
Scientific notation
1.35132 × 10⁵
As a duration
135,132 s = 1 day, 13 hours, 32 minutes, 12 seconds
In other bases
ternary (3) 20212100220
quaternary (4) 200333130
quinary (5) 13311012
senary (6) 2521340
septenary (7) 1101654
nonary (9) 225326
undecimal (11) 92588
duodecimal (12) 66250
tridecimal (13) 4967a
tetradecimal (14) 37364
pentadecimal (15) 2a08c

As an angle

135,132° = 375 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλερλβʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋬
Chinese
一十三萬五千一百三十二
Chinese (financial)
壹拾參萬伍仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٣٥١٣٢ Devanagari १३५१३२ Bengali ১৩৫১৩২ Tamil ௧௩௫௧௩௨ Thai ๑๓๕๑๓๒ Tibetan ༡༣༥༡༣༢ Khmer ១៣៥១៣២ Lao ໑໓໕໑໓໒ Burmese ၁၃၅၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135132, here are decompositions:

  • 13 + 135119 = 135132
  • 31 + 135101 = 135132
  • 43 + 135089 = 135132
  • 73 + 135059 = 135132
  • 83 + 135049 = 135132
  • 89 + 135043 = 135132
  • 103 + 135029 = 135132
  • 113 + 135019 = 135132

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿜
CJK Unified Ideograph-20Fdc
U+20FDC
Other letter (Lo)

UTF-8 encoding: F0 A0 BF 9C (4 bytes).

Hex color
#020FDC
RGB(2, 15, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.220.

Address
0.2.15.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.220

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 135,132 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 135132 first appears in π at position 179,262 of the decimal expansion (the 179,262ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.