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136,361

136,361 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.).

136,361 (one hundred thirty-six thousand three hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x214A9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
163,631
Square (n²)
18,594,322,321
Cube (n³)
2,535,540,386,013,881
Divisor count
2
σ(n) — sum of divisors
136,362
φ(n) — Euler's totient
136,360

Primality

136,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,361)
1 × 136361
First multiples
136,361 · 272,722 (double) · 409,083 · 545,444 · 681,805 · 818,166 · 954,527 · 1,090,888 · 1,227,249 · 1,363,610

Sums & aliquot sequence

As a sum of two squares: 56² + 365²
As consecutive integers: 68,180 + 68,181

Continued fraction of √n

√136,361 = [369; (3, 1, 2, 4, 5, 1, 42, 1, 1, 1, 1, 8, 1, 104, 1, 1, 1, 1, 3, 2, 1, 6, 2, 2, …)]

Representations

In words
one hundred thirty-six thousand three hundred sixty-one
Ordinal
136361st
Binary
100001010010101001
Octal
412251
Hexadecimal
0x214A9
Base64
AhSp
One's complement
4,294,830,934 (32-bit)
Scientific notation
1.36361 × 10⁵
As a duration
136,361 s = 1 day, 13 hours, 52 minutes, 41 seconds
In other bases
ternary (3) 20221001102
quaternary (4) 201102221
quinary (5) 13330421
senary (6) 2531145
septenary (7) 1105361
nonary (9) 227042
undecimal (11) 934a5
duodecimal (12) 66ab5
tridecimal (13) 4a0b4
tetradecimal (14) 379a1
pentadecimal (15) 2a60b

As an angle

136,361° = 378 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλϛτξαʹ
Mayan (base 20)
𝋱·𝋠·𝋲·𝋡
Chinese
一十三萬六千三百六十一
Chinese (financial)
壹拾參萬陸仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٦٣٦١ Devanagari १३६३६१ Bengali ১৩৬৩৬১ Tamil ௧௩௬௩௬௧ Thai ๑๓๖๓๖๑ Tibetan ༡༣༦༣༦༡ Khmer ១៣៦៣៦១ Lao ໑໓໖໓໖໑ Burmese ၁၃၆၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡒩
CJK Unified Ideograph-214A9
U+214A9
Other letter (Lo)

UTF-8 encoding: F0 A1 92 A9 (4 bytes).

Hex color
#0214A9
RGB(2, 20, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.169.

Address
0.2.20.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.169

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 136,361 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.