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136,537

136,537 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.).

136,537 (one hundred thirty-six thousand five hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21559.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,890
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
735,631
Square (n²)
18,642,352,369
Cube (n³)
2,545,370,865,406,153
Divisor count
2
σ(n) — sum of divisors
136,538
φ(n) — Euler's totient
136,536

Primality

136,537 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136537
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,537)
1 × 136537
First multiples
136,537 · 273,074 (double) · 409,611 · 546,148 · 682,685 · 819,222 · 955,759 · 1,092,296 · 1,228,833 · 1,365,370

Sums & aliquot sequence

As a sum of two squares: 99² + 356²
As consecutive integers: 68,268 + 68,269

Continued fraction of √n

√136,537 = [369; (1, 1, 26, 1, 6, 1, 2, 1, 3, 3, 1, 1, 1, 4, 105, 2, 1, 3, 1, 3, 8, 25, 2, 1, …)]

Representations

In words
one hundred thirty-six thousand five hundred thirty-seven
Ordinal
136537th
Binary
100001010101011001
Octal
412531
Hexadecimal
0x21559
Base64
AhVZ
One's complement
4,294,830,758 (32-bit)
Scientific notation
1.36537 × 10⁵
As a duration
136,537 s = 1 day, 13 hours, 55 minutes, 37 seconds
In other bases
ternary (3) 20221021221
quaternary (4) 201111121
quinary (5) 13332122
senary (6) 2532041
septenary (7) 1106032
nonary (9) 227257
undecimal (11) 93645
duodecimal (12) 67021
tridecimal (13) 4a1bb
tetradecimal (14) 37a89
pentadecimal (15) 2a6c7

As an angle

136,537° = 379 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛφλζʹ
Mayan (base 20)
𝋱·𝋡·𝋦·𝋱
Chinese
一十三萬六千五百三十七
Chinese (financial)
壹拾參萬陸仟伍佰參拾柒
In other modern scripts
Eastern Arabic ١٣٦٥٣٧ Devanagari १३६५३७ Bengali ১৩৬৫৩৭ Tamil ௧௩௬௫௩௭ Thai ๑๓๖๕๓๗ Tibetan ༡༣༦༥༣༧ Khmer ១៣៦៥៣៧ Lao ໑໓໖໕໓໗ Burmese ၁၃၆၅၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 136541, sexy with 136531.

Unicode codepoint
𡕙
CJK Unified Ideograph-21559
U+21559
Other letter (Lo)

UTF-8 encoding: F0 A1 95 99 (4 bytes).

Hex color
#021559
RGB(2, 21, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.89.

Address
0.2.21.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.89

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 136,537 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 136537 first appears in π at position 948,963 of the decimal expansion (the 948,963ordinal-suffix:rd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.