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134,664

134,664 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.).

134,664 (one hundred thirty-four thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 31 × 181. Its proper divisors sum to 214,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E08.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,728
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
466,431
Square (n²)
18,134,392,896
Cube (n³)
2,442,049,884,946,944
Divisor count
32
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
43,200
Sum of prime factors
221

Primality

Prime factorization: 2 3 × 3 × 31 × 181

Nearest primes: 134,639 (−25) · 134,669 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 31 · 62 · 93 · 124 · 181 · 186 · 248 · 362 · 372 · 543 · 724 · 744 · 1086 · 1448 · 2172 · 4344 · 5611 · 11222 · 16833 · 22444 · 33666 · 44888 · 67332 (half) · 134664
Aliquot sum (sum of proper divisors): 214,776
Factor pairs (a × b = 134,664)
1 × 134664
2 × 67332
3 × 44888
4 × 33666
6 × 22444
8 × 16833
12 × 11222
24 × 5611
31 × 4344
62 × 2172
93 × 1448
124 × 1086
181 × 744
186 × 724
248 × 543
362 × 372
First multiples
134,664 · 269,328 (double) · 403,992 · 538,656 · 673,320 · 807,984 · 942,648 · 1,077,312 · 1,211,976 · 1,346,640

Sums & aliquot sequence

As consecutive integers: 44,887 + 44,888 + 44,889 8,409 + 8,410 + … + 8,424 4,329 + 4,330 + … + 4,359 2,782 + 2,783 + … + 2,829
Aliquot sequence: 134,664 214,776 401,424 635,712 1,510,080 4,165,296 6,709,008 11,861,232 19,840,608 36,581,940 74,383,824 118,427,248 111,025,576 97,147,394 51,043,726 25,552,178 12,941,290 — unresolved within range

Continued fraction of √n

√134,664 = [366; (1, 28, 2, 1, 3, 1, 2, 1, 1, 1, 2, 5, 3, 4, 2, 1, 1, 3, 1, 3, 48, 1, 1, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand six hundred sixty-four
Ordinal
134664th
Binary
100000111000001000
Octal
407010
Hexadecimal
0x20E08
Base64
Ag4I
One's complement
4,294,832,631 (32-bit)
Scientific notation
1.34664 × 10⁵
As a duration
134,664 s = 1 day, 13 hours, 24 minutes, 24 seconds
In other bases
ternary (3) 20211201120
quaternary (4) 200320020
quinary (5) 13302124
senary (6) 2515240
septenary (7) 1100415
nonary (9) 224646
undecimal (11) 921a2
duodecimal (12) 65b20
tridecimal (13) 493aa
tetradecimal (14) 3710c
pentadecimal (15) 29d79

As an angle

134,664° = 374 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδχξδʹ
Mayan (base 20)
𝋰·𝋰·𝋭·𝋤
Chinese
一十三萬四千六百六十四
Chinese (financial)
壹拾參萬肆仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٤٦٦٤ Devanagari १३४६६४ Bengali ১৩৪৬৬৪ Tamil ௧௩௪௬௬௪ Thai ๑๓๔๖๖๔ Tibetan ༡༣༤༦༦༤ Khmer ១៣៤៦៦៤ Lao ໑໓໔໖໖໔ Burmese ၁၃၄၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134664, here are decompositions:

  • 67 + 134597 = 134664
  • 71 + 134593 = 134664
  • 73 + 134591 = 134664
  • 83 + 134581 = 134664
  • 151 + 134513 = 134664
  • 157 + 134507 = 134664
  • 193 + 134471 = 134664
  • 227 + 134437 = 134664

Showing the first eight; more decompositions exist.

Unicode codepoint
𠸈
CJK Unified Ideograph-20E08
U+20E08
Other letter (Lo)

UTF-8 encoding: F0 A0 B8 88 (4 bytes).

Hex color
#020E08
RGB(2, 14, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.8.

Address
0.2.14.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.8

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 134,664 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°.