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135,140

135,140 is a composite number, even.

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.).

135,140 (one hundred thirty-five thousand one hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 29 × 233. Its proper divisors sum to 159,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FE4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
41,531
Square (n²)
18,262,819,600
Cube (n³)
2,468,037,440,744,000
Divisor count
24
σ(n) — sum of divisors
294,840
φ(n) — Euler's totient
51,968
Sum of prime factors
271

Primality

Prime factorization: 2 2 × 5 × 29 × 233

Nearest primes: 135,131 (−9) · 135,151 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 29 · 58 · 116 · 145 · 233 · 290 · 466 · 580 · 932 · 1165 · 2330 · 4660 · 6757 · 13514 · 27028 · 33785 · 67570 (half) · 135140
Aliquot sum (sum of proper divisors): 159,700
Factor pairs (a × b = 135,140)
1 × 135140
2 × 67570
4 × 33785
5 × 27028
10 × 13514
20 × 6757
29 × 4660
58 × 2330
116 × 1165
145 × 932
233 × 580
290 × 466
First multiples
135,140 · 270,280 (double) · 405,420 · 540,560 · 675,700 · 810,840 · 945,980 · 1,081,120 · 1,216,260 · 1,351,400

Sums & aliquot sequence

As a sum of two squares: 64² + 362² = 106² + 352² = 166² + 328² = 218² + 296²
As consecutive integers: 27,026 + 27,027 + 27,028 + 27,029 + 27,030 16,889 + 16,890 + … + 16,896 4,646 + 4,647 + … + 4,674 3,359 + 3,360 + … + 3,398
Aliquot sequence: 135,140 159,700 187,066 121,760 166,276 151,244 113,440 154,940 178,372 150,348 260,916 384,204 524,004 793,116 1,211,796 1,929,888 3,559,050 — unresolved within range

Continued fraction of √n

√135,140 = [367; (1, 1, 1, 1, 2, 3, 1, 2, 9, 1, 182, 1, 9, 2, 1, 3, 2, 1, 1, 1, 1, 734)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred forty
Ordinal
135140th
Binary
100000111111100100
Octal
407744
Hexadecimal
0x20FE4
Base64
Ag/k
One's complement
4,294,832,155 (32-bit)
Scientific notation
1.3514 × 10⁵
As a duration
135,140 s = 1 day, 13 hours, 32 minutes, 20 seconds
In other bases
ternary (3) 20212101012
quaternary (4) 200333210
quinary (5) 13311030
senary (6) 2521352
septenary (7) 1101665
nonary (9) 225335
undecimal (11) 92595
duodecimal (12) 66258
tridecimal (13) 49685
tetradecimal (14) 3736c
pentadecimal (15) 2a095

As an angle

135,140° = 375 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλερμʹ
Mayan (base 20)
𝋰·𝋱·𝋱·𝋠
Chinese
一十三萬五千一百四十
Chinese (financial)
壹拾參萬伍仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٣٥١٤٠ Devanagari १३५१४० Bengali ১৩৫১৪০ Tamil ௧௩௫௧௪௦ Thai ๑๓๕๑๔๐ Tibetan ༡༣༥༡༤༠ Khmer ១៣៥១៤០ Lao ໑໓໕໑໔໐ Burmese ၁၃၅၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135140, here are decompositions:

  • 97 + 135043 = 135140
  • 151 + 134989 = 135140
  • 193 + 134947 = 135140
  • 223 + 134917 = 135140
  • 283 + 134857 = 135140
  • 409 + 134731 = 135140
  • 433 + 134707 = 135140
  • 457 + 134683 = 135140

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿤
CJK Unified Ideograph-20Fe4
U+20FE4
Other letter (Lo)

UTF-8 encoding: F0 A0 BF A4 (4 bytes).

Hex color
#020FE4
RGB(2, 15, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.228.

Address
0.2.15.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.228

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 135,140 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.