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137,655

137,655 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.).

137,655 (one hundred thirty-seven thousand six hundred fifty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3² × 5 × 7 × 19 × 23. Its proper divisors sum to 161,865, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219B7.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
3,150
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
556,731
Recamán's sequence
a(493,517) = 137,655
Square (n²)
18,948,899,025
Cube (n³)
2,608,410,695,286,375
Divisor count
48
σ(n) — sum of divisors
299,520
φ(n) — Euler's totient
57,024
Sum of prime factors
60

Primality

Prime factorization: 3 2 × 5 × 7 × 19 × 23

Nearest primes: 137,653 (−2) · 137,659 (+4)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 9 · 15 · 19 · 21 · 23 · 35 · 45 · 57 · 63 · 69 · 95 · 105 · 115 · 133 · 161 · 171 · 207 · 285 · 315 · 345 · 399 · 437 · 483 · 665 · 805 · 855 · 1035 · 1197 · 1311 · 1449 · 1995 · 2185 · 2415 · 3059 · 3933 · 5985 · 6555 · 7245 · 9177 · 15295 · 19665 · 27531 · 45885 · 137655
Aliquot sum (sum of proper divisors): 161,865
Factor pairs (a × b = 137,655)
1 × 137655
3 × 45885
5 × 27531
7 × 19665
9 × 15295
15 × 9177
19 × 7245
21 × 6555
23 × 5985
35 × 3933
45 × 3059
57 × 2415
63 × 2185
69 × 1995
95 × 1449
105 × 1311
115 × 1197
133 × 1035
161 × 855
171 × 805
207 × 665
285 × 483
315 × 437
345 × 399
First multiples
137,655 · 275,310 (double) · 412,965 · 550,620 · 688,275 · 825,930 · 963,585 · 1,101,240 · 1,238,895 · 1,376,550

Sums & aliquot sequence

As consecutive integers: 68,827 + 68,828 45,884 + 45,885 + 45,886 27,529 + 27,530 + 27,531 + 27,532 + 27,533 22,940 + 22,941 + 22,942 + 22,943 + 22,944 + 22,945
Aliquot sequence: 137,655 161,865 154,935 138,969 66,951 32,577 10,863 5,985 6,495 3,921 1,311 609 351 209 31 1 0 — terminates at zero

Continued fraction of √n

√137,655 = [371; (53, 742)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred fifty-five
Ordinal
137655th
Binary
100001100110110111
Octal
414667
Hexadecimal
0x219B7
Base64
Ahm3
One's complement
4,294,829,640 (32-bit)
Scientific notation
1.37655 × 10⁵
As a duration
137,655 s = 1 day, 14 hours, 14 minutes, 15 seconds
In other bases
ternary (3) 20222211100
quaternary (4) 201212313
quinary (5) 13401110
senary (6) 2541143
septenary (7) 1112220
nonary (9) 228740
undecimal (11) 94471
duodecimal (12) 677b3
tridecimal (13) 4a86b
tetradecimal (14) 38247
pentadecimal (15) 2abc0

As an angle

137,655° = 382 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχνεʹ
Mayan (base 20)
𝋱·𝋤·𝋢·𝋯
Chinese
一十三萬七千六百五十五
Chinese (financial)
壹拾參萬柒仟陸佰伍拾伍
In other modern scripts
Eastern Arabic ١٣٧٦٥٥ Devanagari १३७६५५ Bengali ১৩৭৬৫৫ Tamil ௧௩௭௬௫௫ Thai ๑๓๗๖๕๕ Tibetan ༡༣༧༦༥༥ Khmer ១៣៧៦៥៥ Lao ໑໓໗໖໕໕ Burmese ၁၃၇၆၅၅

Also seen as

Unicode codepoint
𡦷
CJK Unified Ideograph-219B7
U+219B7
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 B7 (4 bytes).

Hex color
#0219B7
RGB(2, 25, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.183.

Address
0.2.25.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.183

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 137,655 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.