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137,445

137,445 is a composite number, odd.

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.).

137,445 (one hundred thirty-seven thousand four hundred forty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3 × 5 × 7² × 11 × 17. Its proper divisors sum to 158,043, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218E5.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
1,680
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
544,731
Square (n²)
18,891,128,025
Cube (n³)
2,596,491,091,396,125
Divisor count
48
σ(n) — sum of divisors
295,488
φ(n) — Euler's totient
53,760
Sum of prime factors
50

Primality

Prime factorization: 3 × 5 × 7 2 × 11 × 17

Nearest primes: 137,443 (−2) · 137,447 (+2)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 11 · 15 · 17 · 21 · 33 · 35 · 49 · 51 · 55 · 77 · 85 · 105 · 119 · 147 · 165 · 187 · 231 · 245 · 255 · 357 · 385 · 539 · 561 · 595 · 735 · 833 · 935 · 1155 · 1309 · 1617 · 1785 · 2499 · 2695 · 2805 · 3927 · 4165 · 6545 · 8085 · 9163 · 12495 · 19635 · 27489 · 45815 · 137445
Aliquot sum (sum of proper divisors): 158,043
Factor pairs (a × b = 137,445)
1 × 137445
3 × 45815
5 × 27489
7 × 19635
11 × 12495
15 × 9163
17 × 8085
21 × 6545
33 × 4165
35 × 3927
49 × 2805
51 × 2695
55 × 2499
77 × 1785
85 × 1617
105 × 1309
119 × 1155
147 × 935
165 × 833
187 × 735
231 × 595
245 × 561
255 × 539
357 × 385
First multiples
137,445 · 274,890 (double) · 412,335 · 549,780 · 687,225 · 824,670 · 962,115 · 1,099,560 · 1,237,005 · 1,374,450

Sums & aliquot sequence

As consecutive integers: 68,722 + 68,723 45,814 + 45,815 + 45,816 27,487 + 27,488 + 27,489 + 27,490 + 27,491 22,905 + 22,906 + 22,907 + 22,908 + 22,909 + 22,910
Aliquot sequence: 137,445 158,043 54,757 3,239 121 12 16 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√137,445 = [370; (1, 2, 1, 3, 1, 1, 1, 3, 7, 14, 1, 184, 2, 3, 3, 1, 1, 14, 1, 1, 3, 3, 2, 184, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred forty-five
Ordinal
137445th
Binary
100001100011100101
Octal
414345
Hexadecimal
0x218E5
Base64
Ahjl
One's complement
4,294,829,850 (32-bit)
Scientific notation
1.37445 × 10⁵
As a duration
137,445 s = 1 day, 14 hours, 10 minutes, 45 seconds
In other bases
ternary (3) 20222112120
quaternary (4) 201203211
quinary (5) 13344240
senary (6) 2540153
septenary (7) 1111500
nonary (9) 228476
undecimal (11) 942a0
duodecimal (12) 67659
tridecimal (13) 4a739
tetradecimal (14) 38137
pentadecimal (15) 2aad0

As an angle

137,445° = 381 × 360° + 285°
285° ≈ 4.974 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυμεʹ
Mayan (base 20)
𝋱·𝋣·𝋬·𝋥
Chinese
一十三萬七千四百四十五
Chinese (financial)
壹拾參萬柒仟肆佰肆拾伍
In other modern scripts
Eastern Arabic ١٣٧٤٤٥ Devanagari १३७४४५ Bengali ১৩৭৪৪৫ Tamil ௧௩௭௪௪௫ Thai ๑๓๗๔๔๕ Tibetan ༡༣༧༤༤༥ Khmer ១៣៧៤៤៥ Lao ໑໓໗໔໔໕ Burmese ၁၃၇၄၄၅

Also seen as

Unicode codepoint
𡣥
CJK Unified Ideograph-218E5
U+218E5
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 A5 (4 bytes).

Hex color
#0218E5
RGB(2, 24, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.229.

Address
0.2.24.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.229

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 137,445 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°.