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135,137

135,137 is a composite number, 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.).

135,137 (one hundred thirty-five thousand one hundred thirty-seven) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 337 × 401. Written other ways, in hexadecimal, 0x20FE1.

Arithmetic Number Cube-Free Deficient Number Happy Number Markov Number Odious Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
731,531
Square (n²)
18,262,008,769
Cube (n³)
2,467,873,079,016,353
Divisor count
4
σ(n) — sum of divisors
135,876
φ(n) — Euler's totient
134,400
Sum of prime factors
738

Primality

Prime factorization: 337 × 401

Nearest primes: 135,131 (−6) · 135,151 (+14)

Divisors & multiples

All divisors (4)
1 · 337 · 401 · 135137
Aliquot sum (sum of proper divisors): 739
Factor pairs (a × b = 135,137)
1 × 135137
337 × 401
First multiples
135,137 · 270,274 (double) · 405,411 · 540,548 · 675,685 · 810,822 · 945,959 · 1,081,096 · 1,216,233 · 1,351,370

Sums & aliquot sequence

As a sum of two squares: 164² + 329² = 196² + 311²
As consecutive integers: 67,568 + 67,569 233 + 234 + … + 569 137 + 138 + … + 537
Aliquot sequence: 135,137 739 1 0 — terminates at zero

Continued fraction of √n

√135,137 = [367; (1, 1, 1, 1, 3, 2, 6, 14, 1, 5, 1, 1, 1, 2, 2, 2, 45, 1, 1, 6, 16, 1, 16, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred thirty-seven
Ordinal
135137th
Binary
100000111111100001
Octal
407741
Hexadecimal
0x20FE1
Base64
Ag/h
One's complement
4,294,832,158 (32-bit)
Scientific notation
1.35137 × 10⁵
As a duration
135,137 s = 1 day, 13 hours, 32 minutes, 17 seconds
In other bases
ternary (3) 20212101002
quaternary (4) 200333201
quinary (5) 13311022
senary (6) 2521345
septenary (7) 1101662
nonary (9) 225332
undecimal (11) 92592
duodecimal (12) 66255
tridecimal (13) 49682
tetradecimal (14) 37369
pentadecimal (15) 2a092

As an angle

135,137° = 375 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερλζʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋱
Chinese
一十三萬五千一百三十七
Chinese (financial)
壹拾參萬伍仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٣٥١٣٧ Devanagari १३५१३७ Bengali ১৩৫১৩৭ Tamil ௧௩௫௧௩௭ Thai ๑๓๕๑๓๗ Tibetan ༡༣༥༡༣༧ Khmer ១៣៥១៣៧ Lao ໑໓໕໑໓໗ Burmese ၁၃၅၁၃၇

Also seen as

Unicode codepoint
𠿡
CJK Unified Ideograph-20Fe1
U+20FE1
Other letter (Lo)

UTF-8 encoding: F0 A0 BF A1 (4 bytes).

Hex color
#020FE1
RGB(2, 15, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.225.

Address
0.2.15.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.225

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 135,137 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.