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137,535

137,535 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.).

137,535 (one hundred thirty-seven thousand five hundred thirty-five) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 5 × 53 × 173. Written other ways, in hexadecimal, 0x2193F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
1,575
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
535,731
Recamán's sequence
a(493,757) = 137,535
Square (n²)
18,915,876,225
Cube (n³)
2,601,595,036,605,375
Divisor count
16
σ(n) — sum of divisors
225,504
φ(n) — Euler's totient
71,552
Sum of prime factors
234

Primality

Prime factorization: 3 × 5 × 53 × 173

Nearest primes: 137,519 (−16) · 137,537 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 5 · 15 · 53 · 159 · 173 · 265 · 519 · 795 · 865 · 2595 · 9169 · 27507 · 45845 · 137535
Aliquot sum (sum of proper divisors): 87,969
Factor pairs (a × b = 137,535)
1 × 137535
3 × 45845
5 × 27507
15 × 9169
53 × 2595
159 × 865
173 × 795
265 × 519
First multiples
137,535 · 275,070 (double) · 412,605 · 550,140 · 687,675 · 825,210 · 962,745 · 1,100,280 · 1,237,815 · 1,375,350

Sums & aliquot sequence

As consecutive integers: 68,767 + 68,768 45,844 + 45,845 + 45,846 27,505 + 27,506 + 27,507 + 27,508 + 27,509 22,920 + 22,921 + 22,922 + 22,923 + 22,924 + 22,925
Aliquot sequence: 137,535 87,969 50,271 21,969 9,777 3,263 265 59 1 0 — terminates at zero

Continued fraction of √n

√137,535 = [370; (1, 5, 1, 740)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred thirty-five
Ordinal
137535th
Binary
100001100100111111
Octal
414477
Hexadecimal
0x2193F
Base64
Ahk/
One's complement
4,294,829,760 (32-bit)
Scientific notation
1.37535 × 10⁵
As a duration
137,535 s = 1 day, 14 hours, 12 minutes, 15 seconds
In other bases
ternary (3) 20222122220
quaternary (4) 201210333
quinary (5) 13400120
senary (6) 2540423
septenary (7) 1111656
nonary (9) 228586
undecimal (11) 94372
duodecimal (12) 67713
tridecimal (13) 4a7a8
tetradecimal (14) 3819d
pentadecimal (15) 2ab40

As an angle

137,535° = 382 × 360° + 15°
15° ≈ 0.262 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφλεʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋯
Chinese
一十三萬七千五百三十五
Chinese (financial)
壹拾參萬柒仟伍佰參拾伍
In other modern scripts
Eastern Arabic ١٣٧٥٣٥ Devanagari १३७५३५ Bengali ১৩৭৫৩৫ Tamil ௧௩௭௫௩௫ Thai ๑๓๗๕๓๕ Tibetan ༡༣༧༥༣༥ Khmer ១៣៧៥៣៥ Lao ໑໓໗໕໓໕ Burmese ၁၃၇၅၃၅

Also seen as

Unicode codepoint
𡤿
CJK Unified Ideograph-2193F
U+2193F
Other letter (Lo)

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

Hex color
#02193F
RGB(2, 25, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.63.

Address
0.2.25.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.63

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 137,535 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137535 first appears in π at position 467,356 of the decimal expansion (the 467,356ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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