Live analysis

137,132

137,132 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.).

137,132 (one hundred thirty-seven thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,283. Written other ways, in hexadecimal, 0x217AC.

Arithmetic Number Cube-Free Deficient Number Odious Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 126
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 231,731
Square (n²): 18,805,185,424
Cube (n³): 2,578,792,687,563,968
Divisor count: 6
σ(n) — sum of divisors: 239,988
φ(n) — Euler's totient: 68,564
Sum of prime factors: 34,287

Primality

Prime factorization: 2 ² × 34283

Nearest primes: 137,131 (−1) · 137,143 (+11)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 34283 · 68566 (half) · 137132

Aliquot sum (sum of proper divisors): 102,856

Factor pairs (a × b = 137,132)

1 × 137132

2 × 68566

4 × 34283

First multiples

137,132 · 274,264 (double) · 411,396 · 548,528 · 685,660 · 822,792 · 959,924 · 1,097,056 · 1,234,188 · 1,371,320

Sums & aliquot sequence

As consecutive integers: 17,138 + 17,139 + … + 17,145

Aliquot sequence: 137,132 → 102,856 → 118,904 → 107,896 → 94,424 → 110,776 → 101,264 → 94,966 → 49,178 → 25,894 → 17,198 → 8,602 → 6,950 → 6,070 → 4,874 → 2,440 → 3,140 — unresolved within range

Continued fraction of √n

√137,132 = [370; (3, 5, 4, 4, 23, 1, 1, 1, 9, 12, 26, 2, 1, 2, 1, 1, 31, 1, 1, 1, 1, 1, 5, 4, …)]

Representations

In words: one hundred thirty-seven thousand one hundred thirty-two
Ordinal: 137132nd
Binary: 100001011110101100
Octal: 413654
Hexadecimal: 0x217AC
Base64: Ahes
One's complement: 4,294,830,163 (32-bit)
Scientific notation: 1.37132 × 10⁵
As a duration: 137,132 s = 1 day, 14 hours, 5 minutes, 32 seconds

In other bases

ternary (3) 20222002222

quaternary (4) 201132230

quinary (5) 13342012

senary (6) 2534512

septenary (7) 1110542

nonary (9) 228088

undecimal (11) 94036

duodecimal (12) 67438

tridecimal (13) 4a558

tetradecimal (14) 37d92

pentadecimal (15) 2a972

As an angle

137,132° = 380 × 360° + 332°

332° ≈ 5.794 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζρλβʹ
Mayan (base 20): 𝋱·𝋢·𝋰·𝋬
Chinese: 一十三萬七千一百三十二
Chinese (financial): 壹拾參萬柒仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٣٧١٣٢ Devanagari १३७१३२ Bengali ১৩৭১৩২ Tamil ௧௩௭௧௩௨ Thai ๑๓๗๑๓๒ Tibetan ༡༣༧༡༣༢ Khmer ១៣៧១៣២ Lao ໑໓໗໑໓໒ Burmese ၁၃၇၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137132, here are decompositions:

13 + 137119 = 137132
43 + 137089 = 137132
103 + 137029 = 137132
139 + 136993 = 137132
181 + 136951 = 137132
271 + 136861 = 137132
283 + 136849 = 137132
379 + 136753 = 137132

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞬

CJK Unified Ideograph-217Ac

U+217AC

Other letter (Lo)

UTF-8 encoding: F0 A1 9E AC (4 bytes).

Lookup U+217AC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217AC

RGB(2, 23, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.172.

Address: 0.2.23.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.172

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 137,132 and was likely granted around 1872.

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

Look up US137,132 on Google Patents ↗ Look up on USPTO ↗