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137,529

137,529 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.).

137,529 (one hundred thirty-seven thousand five hundred twenty-nine) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 7 × 37 × 59. Written other ways, in hexadecimal, 0x21939.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
1,890
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
925,731
Recamán's sequence
a(493,769) = 137,529
Square (n²)
18,914,225,841
Cube (n³)
2,601,254,565,686,889
Divisor count
24
σ(n) — sum of divisors
237,120
φ(n) — Euler's totient
75,168
Sum of prime factors
109

Primality

Prime factorization: 3 2 × 7 × 37 × 59

Nearest primes: 137,519 (−10) · 137,537 (+8)

Divisors & multiples

All divisors (24)
1 · 3 · 7 · 9 · 21 · 37 · 59 · 63 · 111 · 177 · 259 · 333 · 413 · 531 · 777 · 1239 · 2183 · 2331 · 3717 · 6549 · 15281 · 19647 · 45843 · 137529
Aliquot sum (sum of proper divisors): 99,591
Factor pairs (a × b = 137,529)
1 × 137529
3 × 45843
7 × 19647
9 × 15281
21 × 6549
37 × 3717
59 × 2331
63 × 2183
111 × 1239
177 × 777
259 × 531
333 × 413
First multiples
137,529 · 275,058 (double) · 412,587 · 550,116 · 687,645 · 825,174 · 962,703 · 1,100,232 · 1,237,761 · 1,375,290

Sums & aliquot sequence

As consecutive integers: 68,764 + 68,765 45,842 + 45,843 + 45,844 22,919 + 22,920 + 22,921 + 22,922 + 22,923 + 22,924 19,644 + 19,645 + … + 19,650
Aliquot sequence: 137,529 99,591 35,049 18,391 401 1 0 — terminates at zero

Continued fraction of √n

√137,529 = [370; (1, 5, 1, 1, 1, 1, 1, 10, 1, 28, 1, 3, 15, 1, 1, 8, 4, 1, 3, 4, 1, 7, 1, 10, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred twenty-nine
Ordinal
137529th
Binary
100001100100111001
Octal
414471
Hexadecimal
0x21939
Base64
Ahk5
One's complement
4,294,829,766 (32-bit)
Scientific notation
1.37529 × 10⁵
As a duration
137,529 s = 1 day, 14 hours, 12 minutes, 9 seconds
In other bases
ternary (3) 20222122200
quaternary (4) 201210321
quinary (5) 13400104
senary (6) 2540413
septenary (7) 1111650
nonary (9) 228580
undecimal (11) 94367
duodecimal (12) 67709
tridecimal (13) 4a7a2
tetradecimal (14) 38197
pentadecimal (15) 2ab39

As an angle

137,529° = 382 × 360° + 9°
9° ≈ 0.157 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφκθʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋩
Chinese
一十三萬七千五百二十九
Chinese (financial)
壹拾參萬柒仟伍佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٧٥٢٩ Devanagari १३७५२९ Bengali ১৩৭৫২৯ Tamil ௧௩௭௫௨௯ Thai ๑๓๗๕๒๙ Tibetan ༡༣༧༥༢༩ Khmer ១៣៧៥២៩ Lao ໑໓໗໕໒໙ Burmese ၁၃၇၅၂၉

Also seen as

Unicode codepoint
𡤹
CJK Unified Ideograph-21939
U+21939
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 B9 (4 bytes).

Hex color
#021939
RGB(2, 25, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.57.

Address
0.2.25.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.57

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 137,529 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°.