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134,520

134,520 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.).

134,520 (one hundred thirty-four thousand five hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 59. Its proper divisors sum to 297,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D78.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
25,431
Square (n²)
18,095,630,400
Cube (n³)
2,434,224,201,408,000
Divisor count
64
σ(n) — sum of divisors
432,000
φ(n) — Euler's totient
33,408
Sum of prime factors
92

Primality

Prime factorization: 2 3 × 3 × 5 × 19 × 59

Nearest primes: 134,513 (−7) · 134,581 (+61)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 57 · 59 · 60 · 76 · 95 · 114 · 118 · 120 · 152 · 177 · 190 · 228 · 236 · 285 · 295 · 354 · 380 · 456 · 472 · 570 · 590 · 708 · 760 · 885 · 1121 · 1140 · 1180 · 1416 · 1770 · 2242 · 2280 · 2360 · 3363 · 3540 · 4484 · 5605 · 6726 · 7080 · 8968 · 11210 · 13452 · 16815 · 22420 · 26904 · 33630 · 44840 · 67260 (half) · 134520
Aliquot sum (sum of proper divisors): 297,480
Factor pairs (a × b = 134,520)
1 × 134520
2 × 67260
3 × 44840
4 × 33630
5 × 26904
6 × 22420
8 × 16815
10 × 13452
12 × 11210
15 × 8968
19 × 7080
20 × 6726
24 × 5605
30 × 4484
38 × 3540
40 × 3363
57 × 2360
59 × 2280
60 × 2242
76 × 1770
95 × 1416
114 × 1180
118 × 1140
120 × 1121
152 × 885
177 × 760
190 × 708
228 × 590
236 × 570
285 × 472
295 × 456
354 × 380
First multiples
134,520 · 269,040 (double) · 403,560 · 538,080 · 672,600 · 807,120 · 941,640 · 1,076,160 · 1,210,680 · 1,345,200

Sums & aliquot sequence

As consecutive integers: 44,839 + 44,840 + 44,841 26,902 + 26,903 + 26,904 + 26,905 + 26,906 8,961 + 8,962 + … + 8,975 8,400 + 8,401 + … + 8,415
Aliquot sequence: 134,520 297,480 632,760 1,265,880 3,503,400 7,359,000 17,800,680 35,601,720 97,592,520 196,363,320 398,483,400 1,096,599,480 2,193,199,320 4,906,447,080 10,103,652,120 — keeps growing

Continued fraction of √n

√134,520 = [366; (1, 3, 2, 1, 12, 2, 2, 5, 1, 1, 1, 14, 3, 9, 3, 14, 1, 1, 1, 5, 2, 2, 12, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand five hundred twenty
Ordinal
134520th
Binary
100000110101111000
Octal
406570
Hexadecimal
0x20D78
Base64
Ag14
One's complement
4,294,832,775 (32-bit)
Scientific notation
1.3452 × 10⁵
As a duration
134,520 s = 1 day, 13 hours, 22 minutes
In other bases
ternary (3) 20211112020
quaternary (4) 200311320
quinary (5) 13301040
senary (6) 2514440
septenary (7) 1100121
nonary (9) 224466
undecimal (11) 92081
duodecimal (12) 65a20
tridecimal (13) 492c9
tetradecimal (14) 37048
pentadecimal (15) 29cd0

As an angle

134,520° = 373 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλδφκʹ
Mayan (base 20)
𝋰·𝋰·𝋦·𝋠
Chinese
一十三萬四千五百二十
Chinese (financial)
壹拾參萬肆仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٤٥٢٠ Devanagari १३४५२० Bengali ১৩৪৫২০ Tamil ௧௩௪௫௨௦ Thai ๑๓๔๕๒๐ Tibetan ༡༣༤༥༢༠ Khmer ១៣៤៥២០ Lao ໑໓໔໕໒໐ Burmese ၁၃၄၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134520, here are decompositions:

  • 7 + 134513 = 134520
  • 13 + 134507 = 134520
  • 17 + 134503 = 134520
  • 31 + 134489 = 134520
  • 83 + 134437 = 134520
  • 103 + 134417 = 134520
  • 149 + 134371 = 134520
  • 151 + 134369 = 134520

Showing the first eight; more decompositions exist.

Unicode codepoint
𠵸
CJK Unified Ideograph-20D78
U+20D78
Other letter (Lo)

UTF-8 encoding: F0 A0 B5 B8 (4 bytes).

Hex color
#020D78
RGB(2, 13, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.120.

Address
0.2.13.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.120

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 134,520 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°.