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136,133

136,133 is a prime, 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.).

136,133 (one hundred thirty-six thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x213C5.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
331,631
Square (n²)
18,532,193,689
Cube (n³)
2,522,843,123,464,637
Divisor count
2
σ(n) — sum of divisors
136,134
φ(n) — Euler's totient
136,132

Primality

136,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,133)
1 × 136133
First multiples
136,133 · 272,266 (double) · 408,399 · 544,532 · 680,665 · 816,798 · 952,931 · 1,089,064 · 1,225,197 · 1,361,330

Sums & aliquot sequence

As a sum of two squares: 38² + 367²
As consecutive integers: 68,066 + 68,067

Continued fraction of √n

√136,133 = [368; (1, 25, 2, 1, 4, 3, 1, 1, 4, 2, 2, 1, 1, 2, 1, 8, 1, 1, 1, 1, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-six thousand one hundred thirty-three
Ordinal
136133rd
Binary
100001001111000101
Octal
411705
Hexadecimal
0x213C5
Base64
AhPF
One's complement
4,294,831,162 (32-bit)
Scientific notation
1.36133 × 10⁵
As a duration
136,133 s = 1 day, 13 hours, 48 minutes, 53 seconds
In other bases
ternary (3) 20220201222
quaternary (4) 201033011
quinary (5) 13324013
senary (6) 2530125
septenary (7) 1104614
nonary (9) 226658
undecimal (11) 93308
duodecimal (12) 66945
tridecimal (13) 49c6a
tetradecimal (14) 3787b
pentadecimal (15) 2a508

As an angle

136,133° = 378 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛρλγʹ
Mayan (base 20)
𝋱·𝋠·𝋦·𝋭
Chinese
一十三萬六千一百三十三
Chinese (financial)
壹拾參萬陸仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٣٦١٣٣ Devanagari १३६१३३ Bengali ১৩৬১৩৩ Tamil ௧௩௬௧௩௩ Thai ๑๓๖๑๓๓ Tibetan ༡༣༦༡༣༣ Khmer ១៣៦១៣៣ Lao ໑໓໖໑໓໓ Burmese ၁၃၆၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136139.

Unicode codepoint
𡏅
CJK Unified Ideograph-213C5
U+213C5
Other letter (Lo)

UTF-8 encoding: F0 A1 8F 85 (4 bytes).

Hex color
#0213C5
RGB(2, 19, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.197.

Address
0.2.19.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.197

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 136,133 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.