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135,837

135,837 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.).

135,837 (one hundred thirty-five thousand eight hundred thirty-seven) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3⁵ × 13 × 43. Written other ways, in hexadecimal, 0x2129D.

Deficient Number Evil Number Harshad / Niven Self Number Vampire Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
738,531
Square (n²)
18,451,690,569
Cube (n³)
2,506,422,291,821,253
Divisor count
24
σ(n) — sum of divisors
224,224
φ(n) — Euler's totient
81,648
Sum of prime factors
71

Primality

Prime factorization: 3 5 × 13 × 43

Nearest primes: 135,829 (−8) · 135,841 (+4)

Divisors & multiples

All divisors (24)
1 · 3 · 9 · 13 · 27 · 39 · 43 · 81 · 117 · 129 · 243 · 351 · 387 · 559 · 1053 · 1161 · 1677 · 3159 · 3483 · 5031 · 10449 · 15093 · 45279 · 135837
Aliquot sum (sum of proper divisors): 88,387
Factor pairs (a × b = 135,837)
1 × 135837
3 × 45279
9 × 15093
13 × 10449
27 × 5031
39 × 3483
43 × 3159
81 × 1677
117 × 1161
129 × 1053
243 × 559
351 × 387
First multiples
135,837 · 271,674 (double) · 407,511 · 543,348 · 679,185 · 815,022 · 950,859 · 1,086,696 · 1,222,533 · 1,358,370

Sums & aliquot sequence

As a sum of two cubes: 37³ + 44³
As consecutive integers: 67,918 + 67,919 45,278 + 45,279 + 45,280 22,637 + 22,638 + 22,639 + 22,640 + 22,641 + 22,642 15,089 + 15,090 + … + 15,097
Aliquot sequence: 135,837 88,387 7,505 2,095 425 133 27 13 1 0 — terminates at zero

Continued fraction of √n

√135,837 = [368; (1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 81, 3, 1, 1, 16, 1, 1, 3, 81, 1, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand eight hundred thirty-seven
Ordinal
135837th
Binary
100001001010011101
Octal
411235
Hexadecimal
0x2129D
Base64
AhKd
One's complement
4,294,831,458 (32-bit)
Scientific notation
1.35837 × 10⁵
As a duration
135,837 s = 1 day, 13 hours, 43 minutes, 57 seconds
In other bases
ternary (3) 20220100000
quaternary (4) 201022131
quinary (5) 13321322
senary (6) 2524513
septenary (7) 1104012
nonary (9) 226300
undecimal (11) 93069
duodecimal (12) 66739
tridecimal (13) 49aa0
tetradecimal (14) 37709
pentadecimal (15) 2a3ac

As an angle

135,837° = 377 × 360° + 117°
117° ≈ 2.042 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεωλζʹ
Mayan (base 20)
𝋰·𝋳·𝋫·𝋱
Chinese
一十三萬五千八百三十七
Chinese (financial)
壹拾參萬伍仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١٣٥٨٣٧ Devanagari १३५८३७ Bengali ১৩৫৮৩৭ Tamil ௧௩௫௮௩௭ Thai ๑๓๕๘๓๗ Tibetan ༡༣༥༨༣༧ Khmer ១៣៥៨៣៧ Lao ໑໓໕໘໓໗ Burmese ၁၃၅၈၃၇

Also seen as

Unicode codepoint
𡊝
CJK Unified Ideograph-2129D
U+2129D
Other letter (Lo)

UTF-8 encoding: F0 A1 8A 9D (4 bytes).

Hex color
#02129D
RGB(2, 18, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.157.

Address
0.2.18.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.157

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 135,837 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 135837 first appears in π at position 66,668 of the decimal expansion (the 66,668ordinal-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°.