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137,385

137,385 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.).

137,385 (one hundred thirty-seven thousand three hundred eighty-five) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 5 × 43 × 71. Written other ways, in hexadecimal, 0x218A9.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
583,731
Recamán's sequence
a(37,574) = 137,385
Square (n²)
18,874,638,225
Cube (n³)
2,593,092,172,541,625
Divisor count
24
σ(n) — sum of divisors
247,104
φ(n) — Euler's totient
70,560
Sum of prime factors
125

Primality

Prime factorization: 3 2 × 5 × 43 × 71

Nearest primes: 137,383 (−2) · 137,387 (+2)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 9 · 15 · 43 · 45 · 71 · 129 · 213 · 215 · 355 · 387 · 639 · 645 · 1065 · 1935 · 3053 · 3195 · 9159 · 15265 · 27477 · 45795 · 137385
Aliquot sum (sum of proper divisors): 109,719
Factor pairs (a × b = 137,385)
1 × 137385
3 × 45795
5 × 27477
9 × 15265
15 × 9159
43 × 3195
45 × 3053
71 × 1935
129 × 1065
213 × 645
215 × 639
355 × 387
First multiples
137,385 · 274,770 (double) · 412,155 · 549,540 · 686,925 · 824,310 · 961,695 · 1,099,080 · 1,236,465 · 1,373,850

Sums & aliquot sequence

As consecutive integers: 68,692 + 68,693 45,794 + 45,795 + 45,796 27,475 + 27,476 + 27,477 + 27,478 + 27,479 22,895 + 22,896 + 22,897 + 22,898 + 22,899 + 22,900
Aliquot sequence: 137,385 109,719 51,897 17,303 3,193 135 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√137,385 = [370; (1, 1, 1, 8, 1, 2, 1, 1, 6, 1, 1, 4, 10, 4, 1, 1, 6, 1, 1, 2, 1, 8, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred eighty-five
Ordinal
137385th
Binary
100001100010101001
Octal
414251
Hexadecimal
0x218A9
Base64
Ahip
One's complement
4,294,829,910 (32-bit)
Scientific notation
1.37385 × 10⁵
As a duration
137,385 s = 1 day, 14 hours, 9 minutes, 45 seconds
In other bases
ternary (3) 20222110100
quaternary (4) 201202221
quinary (5) 13344020
senary (6) 2540013
septenary (7) 1111353
nonary (9) 228410
undecimal (11) 94246
duodecimal (12) 67609
tridecimal (13) 4a6c1
tetradecimal (14) 380d3
pentadecimal (15) 2aa90

As an angle

137,385° = 381 × 360° + 225°
225° ≈ 3.927 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτπεʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋥
Chinese
一十三萬七千三百八十五
Chinese (financial)
壹拾參萬柒仟參佰捌拾伍
In other modern scripts
Eastern Arabic ١٣٧٣٨٥ Devanagari १३७३८५ Bengali ১৩৭৩৮৫ Tamil ௧௩௭௩௮௫ Thai ๑๓๗๓๘๕ Tibetan ༡༣༧༣༨༥ Khmer ១៣៧៣៨៥ Lao ໑໓໗໓໘໕ Burmese ၁၃၇၃၈၅

Also seen as

Unicode codepoint
𡢩
CJK Unified Ideograph-218A9
U+218A9
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 A9 (4 bytes).

Hex color
#0218A9
RGB(2, 24, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.169.

Address
0.2.24.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.169

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 137,385 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°.