number.wiki
Live analysis

135,077

135,077 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.).

135,077 (one hundred thirty-five thousand seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20FA5.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
770,531
Recamán's sequence
a(36,386) = 135,077
Square (n²)
18,245,795,929
Cube (n³)
2,464,587,376,701,533
Divisor count
2
σ(n) — sum of divisors
135,078
φ(n) — Euler's totient
135,076

Primality

135,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,077)
1 × 135077
First multiples
135,077 · 270,154 (double) · 405,231 · 540,308 · 675,385 · 810,462 · 945,539 · 1,080,616 · 1,215,693 · 1,350,770

Sums & aliquot sequence

As a sum of two squares: 191² + 314²
As consecutive integers: 67,538 + 67,539

Continued fraction of √n

√135,077 = [367; (1, 1, 8, 2, 1, 4, 3, 2, 12, 38, 1, 1, 1, 1, 5, 3, 16, 1, 3, 1, 1, 5, 1, 3, …)]

Representations

In words
one hundred thirty-five thousand seventy-seven
Ordinal
135077th
Binary
100000111110100101
Octal
407645
Hexadecimal
0x20FA5
Base64
Ag+l
One's complement
4,294,832,218 (32-bit)
Scientific notation
1.35077 × 10⁵
As a duration
135,077 s = 1 day, 13 hours, 31 minutes, 17 seconds
In other bases
ternary (3) 20212021212
quaternary (4) 200332211
quinary (5) 13310302
senary (6) 2521205
septenary (7) 1101545
nonary (9) 225255
undecimal (11) 92538
duodecimal (12) 66205
tridecimal (13) 49637
tetradecimal (14) 37325
pentadecimal (15) 2a052

As an angle

135,077° = 375 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεοζʹ
Mayan (base 20)
𝋰·𝋱·𝋭·𝋱
Chinese
一十三萬五千零七十七
Chinese (financial)
壹拾參萬伍仟零柒拾柒
In other modern scripts
Eastern Arabic ١٣٥٠٧٧ Devanagari १३५०७७ Bengali ১৩৫০৭৭ Tamil ௧௩௫௦௭௭ Thai ๑๓๕๐๗๗ Tibetan ༡༣༥༠༧༧ Khmer ១៣៥០៧៧ Lao ໑໓໕໐໗໗ Burmese ၁၃၅၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠾥
CJK Unified Ideograph-20Fa5
U+20FA5
Other letter (Lo)

UTF-8 encoding: F0 A0 BE A5 (4 bytes).

Hex color
#020FA5
RGB(2, 15, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.165.

Address
0.2.15.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.165

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 135,077 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 135077 first appears in π at position 124,393 of the decimal expansion (the 124,393ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.