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137,592

137,592 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.).

137,592 (one hundred thirty-seven thousand five hundred ninety-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 7² × 13. Its proper divisors sum to 341,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21978.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,890
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
295,731
Recamán's sequence
a(493,643) = 137,592
Square (n²)
18,931,558,464
Cube (n³)
2,604,830,992,178,688
Divisor count
96
σ(n) — sum of divisors
478,800
φ(n) — Euler's totient
36,288
Sum of prime factors
42

Primality

Prime factorization: 2 3 × 3 3 × 7 2 × 13

Nearest primes: 137,587 (−5) · 137,593 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 18 · 21 · 24 · 26 · 27 · 28 · 36 · 39 · 42 · 49 · 52 · 54 · 56 · 63 · 72 · 78 · 84 · 91 · 98 · 104 · 108 · 117 · 126 · 147 · 156 · 168 · 182 · 189 · 196 · 216 · 234 · 252 · 273 · 294 · 312 · 351 · 364 · 378 · 392 · 441 · 468 · 504 · 546 · 588 · 637 · 702 · 728 · 756 · 819 · 882 · 936 · 1092 · 1176 · 1274 · 1323 · 1404 · 1512 · 1638 · 1764 · 1911 · 2184 · 2457 · 2548 · 2646 · 2808 · 3276 · 3528 · 3822 · 4914 · 5096 · 5292 · 5733 · 6552 · 7644 · 9828 · 10584 · 11466 · 15288 · 17199 · 19656 · 22932 · 34398 · 45864 · 68796 (half) · 137592
Aliquot sum (sum of proper divisors): 341,208
Factor pairs (a × b = 137,592)
1 × 137592
2 × 68796
3 × 45864
4 × 34398
6 × 22932
7 × 19656
8 × 17199
9 × 15288
12 × 11466
13 × 10584
14 × 9828
18 × 7644
21 × 6552
24 × 5733
26 × 5292
27 × 5096
28 × 4914
36 × 3822
39 × 3528
42 × 3276
49 × 2808
52 × 2646
54 × 2548
56 × 2457
63 × 2184
72 × 1911
78 × 1764
84 × 1638
91 × 1512
98 × 1404
104 × 1323
108 × 1274
117 × 1176
126 × 1092
147 × 936
156 × 882
168 × 819
182 × 756
189 × 728
196 × 702
216 × 637
234 × 588
252 × 546
273 × 504
294 × 468
312 × 441
351 × 392
364 × 378
First multiples
137,592 · 275,184 (double) · 412,776 · 550,368 · 687,960 · 825,552 · 963,144 · 1,100,736 · 1,238,328 · 1,375,920

Sums & aliquot sequence

As a sum of two cubes: 30³ + 48³
As consecutive integers: 45,863 + 45,864 + 45,865 19,653 + 19,654 + … + 19,659 15,284 + 15,285 + … + 15,292 10,578 + 10,579 + … + 10,590
Aliquot sequence: 137,592 341,208 716,472 1,357,128 2,511,672 3,808,728 9,439,272 16,125,618 16,125,630 22,681,794 22,728,606 22,935,138 22,935,150 49,984,290 90,313,758 124,096,482 152,037,918 — unresolved within range

Continued fraction of √n

√137,592 = [370; (1, 14, 7, 14, 1, 740)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred ninety-two
Ordinal
137592nd
Binary
100001100101111000
Octal
414570
Hexadecimal
0x21978
Base64
Ahl4
One's complement
4,294,829,703 (32-bit)
Scientific notation
1.37592 × 10⁵
As a duration
137,592 s = 1 day, 14 hours, 13 minutes, 12 seconds
In other bases
ternary (3) 20222202000
quaternary (4) 201211320
quinary (5) 13400332
senary (6) 2541000
septenary (7) 1112100
nonary (9) 228660
undecimal (11) 94414
duodecimal (12) 67760
tridecimal (13) 4a820
tetradecimal (14) 38200
pentadecimal (15) 2ab7c

As an angle

137,592° = 382 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζφϟβʹ
Mayan (base 20)
𝋱·𝋣·𝋳·𝋬
Chinese
一十三萬七千五百九十二
Chinese (financial)
壹拾參萬柒仟伍佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٧٥٩٢ Devanagari १३७५९२ Bengali ১৩৭৫৯২ Tamil ௧௩௭௫௯௨ Thai ๑๓๗๕๙๒ Tibetan ༡༣༧༥༩༢ Khmer ១៣៧៥៩២ Lao ໑໓໗໕໙໒ Burmese ၁၃၇၅၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137592, here are decompositions:

  • 5 + 137587 = 137592
  • 19 + 137573 = 137592
  • 73 + 137519 = 137592
  • 101 + 137491 = 137592
  • 109 + 137483 = 137592
  • 139 + 137453 = 137592
  • 149 + 137443 = 137592
  • 179 + 137413 = 137592

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥸
CJK Unified Ideograph-21978
U+21978
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 B8 (4 bytes).

Hex color
#021978
RGB(2, 25, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.120.

Address
0.2.25.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.120

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 137,592 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°.