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132,137

132,137 is a prime, odd.

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.).

132,137 (one hundred thirty-two thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20429.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
731,231
Recamán's sequence
a(228,098) = 132,137
Square (n²)
17,460,186,769
Cube (n³)
2,307,136,699,095,353
Divisor count
2
σ(n) — sum of divisors
132,138
φ(n) — Euler's totient
132,136

Primality

132,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,137)
1 × 132137
First multiples
132,137 · 264,274 (double) · 396,411 · 528,548 · 660,685 · 792,822 · 924,959 · 1,057,096 · 1,189,233 · 1,321,370

Sums & aliquot sequence

As a sum of two squares: 211² + 296²
As consecutive integers: 66,068 + 66,069

Continued fraction of √n

√132,137 = [363; (1, 1, 37, 1, 3, 4, 2, 1, 1, 1, 3, 3, 1, 5, 1, 9, 2, 1, 1, 2, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-two thousand one hundred thirty-seven
Ordinal
132137th
Binary
100000010000101001
Octal
402051
Hexadecimal
0x20429
Base64
AgQp
One's complement
4,294,835,158 (32-bit)
Scientific notation
1.32137 × 10⁵
As a duration
132,137 s = 1 day, 12 hours, 42 minutes, 17 seconds
In other bases
ternary (3) 20201020222
quaternary (4) 200100221
quinary (5) 13212022
senary (6) 2455425
septenary (7) 1060145
nonary (9) 221228
undecimal (11) 90305
duodecimal (12) 64575
tridecimal (13) 481b5
tetradecimal (14) 36225
pentadecimal (15) 29242

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρλζʹ
Mayan (base 20)
𝋰·𝋪·𝋦·𝋱
Chinese
一十三萬二千一百三十七
Chinese (financial)
壹拾參萬貳仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٣٢١٣٧ Devanagari १३२१३७ Bengali ১৩২১৩৭ Tamil ௧௩௨௧௩௭ Thai ๑๓๒๑๓๗ Tibetan ༡༣༢༡༣༧ Khmer ១៣២១៣៧ Lao ໑໓໒໑໓໗ Burmese ၁၃၂၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠐩
CJK Unified Ideograph-20429
U+20429
Other letter (Lo)

UTF-8 encoding: F0 A0 90 A9 (4 bytes).

Hex color
#020429
RGB(2, 4, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.41.

Address
0.2.4.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.41

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 132,137 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.