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Number

137

137 is a prime, odd, a calendar year.

Arithmetic Number Ascending Digits Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 137 AD

Calendar year

Year 137 (CXXXVII) was a common year starting on Monday of the Julian calendar.

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

Historical context — 137 BC

Calendar year

Year 137 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Tuesday
January 1, 137
Ended on: Tuesday
December 31, 137
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 130s
130–139
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,889
1889 years before 2026.

In other calendars

Hebrew: 3897 / 3898 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 680 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 129 / 130 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 59 / 58 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 11
Digit product: 21
Digital root: 2
Palindrome: No
Bit width: 8 bits
Reversed: 731
Recamán's sequence: a(122) = 137
Square (n²): 18,769
Cube (n³): 2,571,353
Divisor count: 2
σ(n) — sum of divisors: 138
φ(n) — Euler's totient: 136

Primality

137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 137

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 137)

1 × 137

First multiples

137 · 274 (double) · 411 · 548 · 685 · 822 · 959 · 1,096 · 1,233 · 1,370

Sums & aliquot sequence

As a sum of two squares: 4² + 11²

As consecutive integers: 68 + 69

Representations

In words: one hundred thirty-seven
Ordinal: 137th
Roman numeral: CXXXVII
Binary: 10001001
Octal: 211
Hexadecimal: 0x89
Base64: iQ==
One's complement: 118 (8-bit)

In other bases

ternary (3) 12002

quaternary (4) 2021

quinary (5) 1022

senary (6) 345

septenary (7) 254

nonary (9) 162

undecimal (11) 115

duodecimal (12) b5

tridecimal (13) a7

tetradecimal (14) 9b

pentadecimal (15) 92

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρλζʹ
Mayan (base 20): 𝋦·𝋱
Chinese: 一百三十七
Chinese (financial): 壹佰參拾柒

In other modern scripts

Eastern Arabic ١٣٧ Devanagari १३७ Bengali ১৩৭ Tamil ௧௩௭ Thai ๑๓๗ Tibetan ༡༣༧ Khmer ១៣៧ Lao ໑໓໗ Burmese ၁၃၇

Digit at this position in famous constants

π — Pi (π): Digit 137 = 2
e — Euler's number (e): Digit 137 = 5
φ — Golden ratio (φ): Digit 137 = 9
√2 — Pythagoras's (√2): Digit 137 = 2
ln 2 — Natural log of 2: Digit 137 = 5
γ — Euler-Mascheroni (γ): Digit 137 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 131 (gap of 6)
Next prime: 139 (gap of 2)

Pair status: twin with 139, sexy with 131.

Unicode codepoint

Character Tabulation With Justification

U+0089

Control character (Cc)

UTF-8 encoding: C2 89 (2 bytes).

Lookup U+0089 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000089

RGB(0, 0, 137)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.137.

Address: 0.0.0.137
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.137

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

Calculator-display word

Type 137 on a seven-segment calculator, flip it 180°, and the display reads:

LEI

A staple of calculator humor since pocket calculators put digits in front of bored students.