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136,189

136,189 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.).

136,189 (one hundred thirty-six thousand one hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x213FD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,296
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
981,631
Square (n²)
18,547,443,721
Cube (n³)
2,525,957,812,919,269
Divisor count
2
σ(n) — sum of divisors
136,190
φ(n) — Euler's totient
136,188

Primality

136,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,189)
1 × 136189
First multiples
136,189 · 272,378 (double) · 408,567 · 544,756 · 680,945 · 817,134 · 953,323 · 1,089,512 · 1,225,701 · 1,361,890

Sums & aliquot sequence

As a sum of two squares: 117² + 350²
As consecutive integers: 68,094 + 68,095

Continued fraction of √n

√136,189 = [369; (26, 2, 1, 3, 1, 2, 1, 48, 2, 7, 1, 1, 1, 1, 1, 1, 13, 1, 1, 2, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-six thousand one hundred eighty-nine
Ordinal
136189th
Binary
100001001111111101
Octal
411775
Hexadecimal
0x213FD
Base64
AhP9
One's complement
4,294,831,106 (32-bit)
Scientific notation
1.36189 × 10⁵
As a duration
136,189 s = 1 day, 13 hours, 49 minutes, 49 seconds
In other bases
ternary (3) 20220211001
quaternary (4) 201033331
quinary (5) 13324224
senary (6) 2530301
septenary (7) 1105024
nonary (9) 226731
undecimal (11) 93359
duodecimal (12) 66991
tridecimal (13) 49cb1
tetradecimal (14) 378bb
pentadecimal (15) 2a544

As an angle

136,189° = 378 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛρπθʹ
Mayan (base 20)
𝋱·𝋠·𝋩·𝋩
Chinese
一十三萬六千一百八十九
Chinese (financial)
壹拾參萬陸仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٦١٨٩ Devanagari १३६१८९ Bengali ১৩৬১৮৯ Tamil ௧௩௬௧௮௯ Thai ๑๓๖๑๘๙ Tibetan ༡༣༦༡༨༩ Khmer ១៣៦១៨៩ Lao ໑໓໖໑໘໙ Burmese ၁၃၆၁၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 136193.

Unicode codepoint
𡏽
CJK Unified Ideograph-213Fd
U+213FD
Other letter (Lo)

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

Hex color
#0213FD
RGB(2, 19, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.253.

Address
0.2.19.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.253

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 136,189 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 136189 first appears in π at position 340,605 of the decimal expansion (the 340,605ordinal-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

  • 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.