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135,378

135,378 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.).

135,378 (one hundred thirty-five thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 23 × 109. Its proper divisors sum to 181,422, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210D2.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
873,531
Square (n²)
18,327,202,884
Cube (n³)
2,481,100,072,030,152
Divisor count
32
σ(n) — sum of divisors
316,800
φ(n) — Euler's totient
42,768
Sum of prime factors
143

Primality

Prime factorization: 2 × 3 3 × 23 × 109

Nearest primes: 135,367 (−11) · 135,389 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 23 · 27 · 46 · 54 · 69 · 109 · 138 · 207 · 218 · 327 · 414 · 621 · 654 · 981 · 1242 · 1962 · 2507 · 2943 · 5014 · 5886 · 7521 · 15042 · 22563 · 45126 · 67689 (half) · 135378
Aliquot sum (sum of proper divisors): 181,422
Factor pairs (a × b = 135,378)
1 × 135378
2 × 67689
3 × 45126
6 × 22563
9 × 15042
18 × 7521
23 × 5886
27 × 5014
46 × 2943
54 × 2507
69 × 1962
109 × 1242
138 × 981
207 × 654
218 × 621
327 × 414
First multiples
135,378 · 270,756 (double) · 406,134 · 541,512 · 676,890 · 812,268 · 947,646 · 1,083,024 · 1,218,402 · 1,353,780

Sums & aliquot sequence

As consecutive integers: 45,125 + 45,126 + 45,127 33,843 + 33,844 + 33,845 + 33,846 15,038 + 15,039 + … + 15,046 11,276 + 11,277 + … + 11,287
Aliquot sequence: 135,378 181,422 211,698 271,902 271,914 271,926 317,286 370,206 443,178 579,222 855,354 855,366 902,058 902,070 1,698,570 2,905,146 3,715,974 — unresolved within range

Continued fraction of √n

√135,378 = [367; (1, 14, 1, 734)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand three hundred seventy-eight
Ordinal
135378th
Binary
100001000011010010
Octal
410322
Hexadecimal
0x210D2
Base64
AhDS
One's complement
4,294,831,917 (32-bit)
Scientific notation
1.35378 × 10⁵
As a duration
135,378 s = 1 day, 13 hours, 36 minutes, 18 seconds
In other bases
ternary (3) 20212201000
quaternary (4) 201003102
quinary (5) 13313003
senary (6) 2522430
septenary (7) 1102455
nonary (9) 225630
undecimal (11) 92791
duodecimal (12) 66416
tridecimal (13) 49809
tetradecimal (14) 3749c
pentadecimal (15) 2a1a3

As an angle

135,378° = 376 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετοηʹ
Mayan (base 20)
𝋰·𝋲·𝋨·𝋲
Chinese
一十三萬五千三百七十八
Chinese (financial)
壹拾參萬伍仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٥٣٧٨ Devanagari १३५३७८ Bengali ১৩৫৩৭৮ Tamil ௧௩௫௩௭௮ Thai ๑๓๕๓๗๘ Tibetan ༡༣༥༣༧༨ Khmer ១៣៥៣៧៨ Lao ໑໓໕໓໗໘ Burmese ၁၃၅၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135378, here are decompositions:

  • 11 + 135367 = 135378
  • 29 + 135349 = 135378
  • 31 + 135347 = 135378
  • 59 + 135319 = 135378
  • 97 + 135281 = 135378
  • 101 + 135277 = 135378
  • 107 + 135271 = 135378
  • 137 + 135241 = 135378

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃒
CJK Unified Ideograph-210D2
U+210D2
Other letter (Lo)

UTF-8 encoding: F0 A1 83 92 (4 bytes).

Hex color
#0210D2
RGB(2, 16, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.210.

Address
0.2.16.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.210

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 135,378 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.