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137,137

137,137 is a composite number, 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.).

137,137 (one hundred thirty-seven thousand one hundred thirty-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 7 × 11 × 13 × 137. Written other ways, in hexadecimal, 0x217B1.

Arithmetic Number Cube-Free Deficient Number Odious Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
441
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
731,731
Square (n²)
18,806,556,769
Cube (n³)
2,579,074,775,630,353
Divisor count
16
σ(n) — sum of divisors
185,472
φ(n) — Euler's totient
97,920
Sum of prime factors
168

Primality

Prime factorization: 7 × 11 × 13 × 137

Nearest primes: 137,131 (−6) · 137,143 (+6)

Divisors & multiples

All divisors (16)
1 · 7 · 11 · 13 · 77 · 91 · 137 · 143 · 959 · 1001 · 1507 · 1781 · 10549 · 12467 · 19591 · 137137
Aliquot sum (sum of proper divisors): 48,335
Factor pairs (a × b = 137,137)
1 × 137137
7 × 19591
11 × 12467
13 × 10549
77 × 1781
91 × 1507
137 × 1001
143 × 959
First multiples
137,137 · 274,274 (double) · 411,411 · 548,548 · 685,685 · 822,822 · 959,959 · 1,097,096 · 1,234,233 · 1,371,370

Sums & aliquot sequence

As consecutive integers: 68,568 + 68,569 19,588 + 19,589 + … + 19,594 12,462 + 12,463 + … + 12,472 10,543 + 10,544 + … + 10,555
Aliquot sequence: 137,137 48,335 18,001 431 1 0 — terminates at zero

Continued fraction of √n

√137,137 = [370; (3, 8, 12, 46, 4, 1, 4, 1, 1, 8, 1, 1, 2, 11, 5, 1, 1, 1, 7, 1, 6, 2, 4, 2, …)]

Representations

In words
one hundred thirty-seven thousand one hundred thirty-seven
Ordinal
137137th
Binary
100001011110110001
Octal
413661
Hexadecimal
0x217B1
Base64
Ahex
One's complement
4,294,830,158 (32-bit)
Scientific notation
1.37137 × 10⁵
As a duration
137,137 s = 1 day, 14 hours, 5 minutes, 37 seconds
In other bases
ternary (3) 20222010011
quaternary (4) 201132301
quinary (5) 13342022
senary (6) 2534521
septenary (7) 1110550
nonary (9) 228104
undecimal (11) 94040
duodecimal (12) 67441
tridecimal (13) 4a560
tetradecimal (14) 37d97
pentadecimal (15) 2a977

As an angle

137,137° = 380 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρλζʹ
Mayan (base 20)
𝋱·𝋢·𝋰·𝋱
Chinese
一十三萬七千一百三十七
Chinese (financial)
壹拾參萬柒仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٣٧١٣٧ Devanagari १३७१३७ Bengali ১৩৭১৩৭ Tamil ௧௩௭௧௩௭ Thai ๑๓๗๑๓๗ Tibetan ༡༣༧༡༣༧ Khmer ១៣៧១៣៧ Lao ໑໓໗໑໓໗ Burmese ၁၃၇၁၃၇

Also seen as

Unicode codepoint
𡞱
CJK Unified Ideograph-217B1
U+217B1
Other letter (Lo)

UTF-8 encoding: F0 A1 9E B1 (4 bytes).

Hex color
#0217B1
RGB(2, 23, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.177.

Address
0.2.23.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.177

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 137,137 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