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137,164

137,164 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.).

137,164 (one hundred thirty-seven thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 53 × 647. Written other ways, in hexadecimal, 0x217CC.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
461,731
Square (n²)
18,813,962,896
Cube (n³)
2,580,598,406,666,944
Divisor count
12
σ(n) — sum of divisors
244,944
φ(n) — Euler's totient
67,184
Sum of prime factors
704

Primality

Prime factorization: 2 2 × 53 × 647

Nearest primes: 137,153 (−11) · 137,177 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 53 · 106 · 212 · 647 · 1294 · 2588 · 34291 · 68582 (half) · 137164
Aliquot sum (sum of proper divisors): 107,780
Factor pairs (a × b = 137,164)
1 × 137164
2 × 68582
4 × 34291
53 × 2588
106 × 1294
212 × 647
First multiples
137,164 · 274,328 (double) · 411,492 · 548,656 · 685,820 · 822,984 · 960,148 · 1,097,312 · 1,234,476 · 1,371,640

Sums & aliquot sequence

As consecutive integers: 17,142 + 17,143 + … + 17,149 2,562 + 2,563 + … + 2,614 112 + 113 + … + 535
Aliquot sequence: 137,164 107,780 132,628 103,244 81,220 96,188 74,332 55,756 44,036 34,504 33,896 33,304 32,216 28,204 25,724 20,476 15,364 — unresolved within range

Continued fraction of √n

√137,164 = [370; (2, 1, 4, 8, 1, 13, 2, 1, 4, 1, 48, 1, 1, 3, 1, 7, 5, 2, 1, 3, 1, 4, 18, 3, …)]

Representations

In words
one hundred thirty-seven thousand one hundred sixty-four
Ordinal
137164th
Binary
100001011111001100
Octal
413714
Hexadecimal
0x217CC
Base64
AhfM
One's complement
4,294,830,131 (32-bit)
Scientific notation
1.37164 × 10⁵
As a duration
137,164 s = 1 day, 14 hours, 6 minutes, 4 seconds
In other bases
ternary (3) 20222011011
quaternary (4) 201133030
quinary (5) 13342124
senary (6) 2535004
septenary (7) 1110616
nonary (9) 228134
undecimal (11) 94065
duodecimal (12) 67464
tridecimal (13) 4a581
tetradecimal (14) 37db6
pentadecimal (15) 2a994

As an angle

137,164° = 381 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρξδʹ
Mayan (base 20)
𝋱·𝋢·𝋲·𝋤
Chinese
一十三萬七千一百六十四
Chinese (financial)
壹拾參萬柒仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٧١٦٤ Devanagari १३७१६४ Bengali ১৩৭১৬৪ Tamil ௧௩௭௧௬௪ Thai ๑๓๗๑๖๔ Tibetan ༡༣༧༡༦༤ Khmer ១៣៧១៦៤ Lao ໑໓໗໑໖໔ Burmese ၁၃၇၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137164, here are decompositions:

  • 11 + 137153 = 137164
  • 17 + 137147 = 137164
  • 47 + 137117 = 137164
  • 173 + 136991 = 137164
  • 191 + 136973 = 137164
  • 281 + 136883 = 137164
  • 353 + 136811 = 137164
  • 431 + 136733 = 137164

Showing the first eight; more decompositions exist.

Unicode codepoint
𡟌
CJK Unified Ideograph-217Cc
U+217CC
Other letter (Lo)

UTF-8 encoding: F0 A1 9F 8C (4 bytes).

Hex color
#0217CC
RGB(2, 23, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.204.

Address
0.2.23.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.204

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 137,164 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