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137,527

137,527 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.).

137,527 (one hundred thirty-seven thousand five hundred twenty-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 71 × 149. Written other ways, in hexadecimal, 0x21937.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,470
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
725,731
Recamán's sequence
a(493,773) = 137,527
Square (n²)
18,913,675,729
Cube (n³)
2,601,141,081,982,183
Divisor count
8
σ(n) — sum of divisors
151,200
φ(n) — Euler's totient
124,320
Sum of prime factors
233

Primality

Prime factorization: 13 × 71 × 149

Nearest primes: 137,519 (−8) · 137,537 (+10)

Divisors & multiples

All divisors (8)
1 · 13 · 71 · 149 · 923 · 1937 · 10579 · 137527
Aliquot sum (sum of proper divisors): 13,673
Factor pairs (a × b = 137,527)
1 × 137527
13 × 10579
71 × 1937
149 × 923
First multiples
137,527 · 275,054 (double) · 412,581 · 550,108 · 687,635 · 825,162 · 962,689 · 1,100,216 · 1,237,743 · 1,375,270

Sums & aliquot sequence

As consecutive integers: 68,763 + 68,764 10,573 + 10,574 + … + 10,585 5,277 + 5,278 + … + 5,302 1,902 + 1,903 + … + 1,972
Aliquot sequence: 137,527 13,673 1,489 1 0 — terminates at zero

Continued fraction of √n

√137,527 = [370; (1, 5, 1, 1, 33, 5, 1, 2, 1, 1, 3, 5, 1, 5, 1, 1, 1, 81, 1, 3, 5, 1, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand five hundred twenty-seven
Ordinal
137527th
Binary
100001100100110111
Octal
414467
Hexadecimal
0x21937
Base64
Ahk3
One's complement
4,294,829,768 (32-bit)
Scientific notation
1.37527 × 10⁵
As a duration
137,527 s = 1 day, 14 hours, 12 minutes, 7 seconds
In other bases
ternary (3) 20222122121
quaternary (4) 201210313
quinary (5) 13400102
senary (6) 2540411
septenary (7) 1111645
nonary (9) 228577
undecimal (11) 94365
duodecimal (12) 67707
tridecimal (13) 4a7a0
tetradecimal (14) 38195
pentadecimal (15) 2ab37

As an angle

137,527° = 382 × 360° + 7°
7° ≈ 0.122 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφκζʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋧
Chinese
一十三萬七千五百二十七
Chinese (financial)
壹拾參萬柒仟伍佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٧٥٢٧ Devanagari १३७५२७ Bengali ১৩৭৫২৭ Tamil ௧௩௭௫௨௭ Thai ๑๓๗๕๒๗ Tibetan ༡༣༧༥༢༧ Khmer ១៣៧៥២៧ Lao ໑໓໗໕໒໗ Burmese ၁၃၇၅၂၇

Also seen as

Unicode codepoint
𡤷
CJK Unified Ideograph-21937
U+21937
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 B7 (4 bytes).

Hex color
#021937
RGB(2, 25, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.55.

Address
0.2.25.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.55

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 137,527 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137527 first appears in π at position 18,937 of the decimal expansion (the 18,937ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading