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134,688

134,688 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.).

134,688 (one hundred thirty-four thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 23 × 61. Its proper divisors sum to 240,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E20.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
4,608
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
886,431
Square (n²)
18,140,857,344
Cube (n³)
2,443,355,793,948,672
Divisor count
48
σ(n) — sum of divisors
374,976
φ(n) — Euler's totient
42,240
Sum of prime factors
97

Primality

Prime factorization: 2 5 × 3 × 23 × 61

Nearest primes: 134,683 (−5) · 134,699 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 61 · 69 · 92 · 96 · 122 · 138 · 183 · 184 · 244 · 276 · 366 · 368 · 488 · 552 · 732 · 736 · 976 · 1104 · 1403 · 1464 · 1952 · 2208 · 2806 · 2928 · 4209 · 5612 · 5856 · 8418 · 11224 · 16836 · 22448 · 33672 · 44896 · 67344 (half) · 134688
Aliquot sum (sum of proper divisors): 240,288
Factor pairs (a × b = 134,688)
1 × 134688
2 × 67344
3 × 44896
4 × 33672
6 × 22448
8 × 16836
12 × 11224
16 × 8418
23 × 5856
24 × 5612
32 × 4209
46 × 2928
48 × 2806
61 × 2208
69 × 1952
92 × 1464
96 × 1403
122 × 1104
138 × 976
183 × 736
184 × 732
244 × 552
276 × 488
366 × 368
First multiples
134,688 · 269,376 (double) · 404,064 · 538,752 · 673,440 · 808,128 · 942,816 · 1,077,504 · 1,212,192 · 1,346,880

Sums & aliquot sequence

As consecutive integers: 44,895 + 44,896 + 44,897 5,845 + 5,846 + … + 5,867 2,178 + 2,179 + … + 2,238 2,073 + 2,074 + … + 2,136
Aliquot sequence: 134,688 240,288 390,720 999,168 1,662,120 4,241,880 9,545,400 22,517,280 58,465,440 159,244,416 302,800,284 462,611,636 373,074,124 279,805,600 405,767,708 304,640,452 256,539,468 — unresolved within range

Continued fraction of √n

√134,688 = [366; (1, 732)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand six hundred eighty-eight
Ordinal
134688th
Binary
100000111000100000
Octal
407040
Hexadecimal
0x20E20
Base64
Ag4g
One's complement
4,294,832,607 (32-bit)
Scientific notation
1.34688 × 10⁵
As a duration
134,688 s = 1 day, 13 hours, 24 minutes, 48 seconds
In other bases
ternary (3) 20211202110
quaternary (4) 200320200
quinary (5) 13302223
senary (6) 2515320
septenary (7) 1100451
nonary (9) 224673
undecimal (11) 92214
duodecimal (12) 65b40
tridecimal (13) 493c8
tetradecimal (14) 37128
pentadecimal (15) 29d93

As an angle

134,688° = 374 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδχπηʹ
Mayan (base 20)
𝋰·𝋰·𝋮·𝋨
Chinese
一十三萬四千六百八十八
Chinese (financial)
壹拾參萬肆仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٤٦٨٨ Devanagari १३४६८८ Bengali ১৩৪৬৮৮ Tamil ௧௩௪௬௮௮ Thai ๑๓๔๖๘๘ Tibetan ༡༣༤༦༨༨ Khmer ១៣៤៦៨៨ Lao ໑໓໔໖໘໘ Burmese ၁၃၄၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134688, here are decompositions:

  • 5 + 134683 = 134688
  • 7 + 134681 = 134688
  • 11 + 134677 = 134688
  • 19 + 134669 = 134688
  • 79 + 134609 = 134688
  • 97 + 134591 = 134688
  • 101 + 134587 = 134688
  • 107 + 134581 = 134688

Showing the first eight; more decompositions exist.

Unicode codepoint
𠸠
CJK Unified Ideograph-20E20
U+20E20
Other letter (Lo)

UTF-8 encoding: F0 A0 B8 A0 (4 bytes).

Hex color
#020E20
RGB(2, 14, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.32.

Address
0.2.14.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.32

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 134,688 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°.