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133,136

133,136 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.).

133,136 (one hundred thirty-three thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 53 × 157. Written other ways, in hexadecimal, 0x20810.

Deficient Number Gapful Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
631,331
Square (n²)
17,725,194,496
Cube (n³)
2,359,861,494,419,456
Divisor count
20
σ(n) — sum of divisors
264,492
φ(n) — Euler's totient
64,896
Sum of prime factors
218

Primality

Prime factorization: 2 4 × 53 × 157

Nearest primes: 133,121 (−15) · 133,153 (+17)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 53 · 106 · 157 · 212 · 314 · 424 · 628 · 848 · 1256 · 2512 · 8321 · 16642 · 33284 · 66568 (half) · 133136
Aliquot sum (sum of proper divisors): 131,356
Factor pairs (a × b = 133,136)
1 × 133136
2 × 66568
4 × 33284
8 × 16642
16 × 8321
53 × 2512
106 × 1256
157 × 848
212 × 628
314 × 424
First multiples
133,136 · 266,272 (double) · 399,408 · 532,544 · 665,680 · 798,816 · 931,952 · 1,065,088 · 1,198,224 · 1,331,360

Sums & aliquot sequence

As a sum of two squares: 80² + 356² = 256² + 260²
As consecutive integers: 4,145 + 4,146 + … + 4,176 2,486 + 2,487 + … + 2,538 770 + 771 + … + 926
Aliquot sequence: 133,136 131,356 98,524 73,900 86,680 127,160 204,400 364,512 592,584 888,936 1,333,464 2,303,976 3,795,864 5,693,856 11,925,984 23,853,984 55,780,032 — unresolved within range

Continued fraction of √n

√133,136 = [364; (1, 7, 4, 1, 44, 1, 4, 7, 1, 728)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred thirty-six
Ordinal
133136th
Binary
100000100000010000
Octal
404020
Hexadecimal
0x20810
Base64
AggQ
One's complement
4,294,834,159 (32-bit)
Scientific notation
1.33136 × 10⁵
As a duration
133,136 s = 1 day, 12 hours, 58 minutes, 56 seconds
In other bases
ternary (3) 20202121222
quaternary (4) 200200100
quinary (5) 13230021
senary (6) 2504212
septenary (7) 1063103
nonary (9) 222558
undecimal (11) 91033
duodecimal (12) 65068
tridecimal (13) 487a3
tetradecimal (14) 3673a
pentadecimal (15) 296ab

As an angle

133,136° = 369 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρλϛʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋰
Chinese
一十三萬三千一百三十六
Chinese (financial)
壹拾參萬參仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٣٣١٣٦ Devanagari १३३१३६ Bengali ১৩৩১৩৬ Tamil ௧௩௩௧௩௬ Thai ๑๓๓๑๓๖ Tibetan ༡༣༣༡༣༦ Khmer ១៣៣១៣៦ Lao ໑໓໓໑໓໖ Burmese ၁၃၃၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133136, here are decompositions:

  • 19 + 133117 = 133136
  • 67 + 133069 = 133136
  • 97 + 133039 = 133136
  • 103 + 133033 = 133136
  • 277 + 132859 = 133136
  • 373 + 132763 = 133136
  • 379 + 132757 = 133136
  • 397 + 132739 = 133136

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠐
CJK Unified Ideograph-20810
U+20810
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 90 (4 bytes).

Hex color
#020810
RGB(2, 8, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.16.

Address
0.2.8.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.16

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 133,136 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 133136 first appears in π at position 490,066 of the decimal expansion (the 490,066ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.