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138,135

138,135 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.).

138,135 (one hundred thirty-eight thousand one hundred thirty-five) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 5 × 9,209. Written other ways, in hexadecimal, 0x21B97.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
531,831
Recamán's sequence
a(492,557) = 138,135
Square (n²)
19,081,278,225
Cube (n³)
2,635,792,367,610,375
Divisor count
8
σ(n) — sum of divisors
221,040
φ(n) — Euler's totient
73,664
Sum of prime factors
9,217

Primality

Prime factorization: 3 × 5 × 9209

Nearest primes: 138,113 (−22) · 138,139 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 5 · 15 · 9209 · 27627 · 46045 · 138135
Aliquot sum (sum of proper divisors): 82,905
Factor pairs (a × b = 138,135)
1 × 138135
3 × 46045
5 × 27627
15 × 9209
First multiples
138,135 · 276,270 (double) · 414,405 · 552,540 · 690,675 · 828,810 · 966,945 · 1,105,080 · 1,243,215 · 1,381,350

Sums & aliquot sequence

As consecutive integers: 69,067 + 69,068 46,044 + 46,045 + 46,046 27,625 + 27,626 + 27,627 + 27,628 + 27,629 23,020 + 23,021 + 23,022 + 23,023 + 23,024 + 23,025
Aliquot sequence: 138,135 82,905 49,767 18,057 7,927 1 0 — terminates at zero

Continued fraction of √n

√138,135 = [371; (1, 1, 1, 73, 1, 1, 1, 742)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred thirty-five
Ordinal
138135th
Binary
100001101110010111
Octal
415627
Hexadecimal
0x21B97
Base64
AhuX
One's complement
4,294,829,160 (32-bit)
Scientific notation
1.38135 × 10⁵
As a duration
138,135 s = 1 day, 14 hours, 22 minutes, 15 seconds
In other bases
ternary (3) 21000111010
quaternary (4) 201232113
quinary (5) 13410020
senary (6) 2543303
septenary (7) 1113504
nonary (9) 230433
undecimal (11) 94868
duodecimal (12) 67b33
tridecimal (13) 4ab4a
tetradecimal (14) 384ab
pentadecimal (15) 2ade0

As an angle

138,135° = 383 × 360° + 255°
255° ≈ 4.451 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρλεʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋯
Chinese
一十三萬八千一百三十五
Chinese (financial)
壹拾參萬捌仟壹佰參拾伍
In other modern scripts
Eastern Arabic ١٣٨١٣٥ Devanagari १३८१३५ Bengali ১৩৮১৩৫ Tamil ௧௩௮௧௩௫ Thai ๑๓๘๑๓๕ Tibetan ༡༣༨༡༣༥ Khmer ១៣៨១៣៥ Lao ໑໓໘໑໓໕ Burmese ၁၃၈၁၃၅

Also seen as

Unicode codepoint
𡮗
CJK Unified Ideograph-21B97
U+21B97
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 97 (4 bytes).

Hex color
#021B97
RGB(2, 27, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.151.

Address
0.2.27.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.151

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 138,135 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 138135 first appears in π at position 481,279 of the decimal expansion (the 481,279ordinal-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°.