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137,025

137,025 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.).

137,025 (one hundred thirty-seven thousand twenty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3³ × 5² × 7 × 29. Its proper divisors sum to 160,575, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21741.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
520,731
Square (n²)
18,775,850,625
Cube (n³)
2,572,760,931,890,625
Divisor count
48
σ(n) — sum of divisors
297,600
φ(n) — Euler's totient
60,480
Sum of prime factors
55

Primality

Prime factorization: 3 3 × 5 2 × 7 × 29

Nearest primes: 136,999 (−26) · 137,029 (+4)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 9 · 15 · 21 · 25 · 27 · 29 · 35 · 45 · 63 · 75 · 87 · 105 · 135 · 145 · 175 · 189 · 203 · 225 · 261 · 315 · 435 · 525 · 609 · 675 · 725 · 783 · 945 · 1015 · 1305 · 1575 · 1827 · 2175 · 3045 · 3915 · 4725 · 5075 · 5481 · 6525 · 9135 · 15225 · 19575 · 27405 · 45675 · 137025
Aliquot sum (sum of proper divisors): 160,575
Factor pairs (a × b = 137,025)
1 × 137025
3 × 45675
5 × 27405
7 × 19575
9 × 15225
15 × 9135
21 × 6525
25 × 5481
27 × 5075
29 × 4725
35 × 3915
45 × 3045
63 × 2175
75 × 1827
87 × 1575
105 × 1305
135 × 1015
145 × 945
175 × 783
189 × 725
203 × 675
225 × 609
261 × 525
315 × 435
First multiples
137,025 · 274,050 (double) · 411,075 · 548,100 · 685,125 · 822,150 · 959,175 · 1,096,200 · 1,233,225 · 1,370,250

Sums & aliquot sequence

As consecutive integers: 68,512 + 68,513 45,674 + 45,675 + 45,676 27,403 + 27,404 + 27,405 + 27,406 + 27,407 22,835 + 22,836 + 22,837 + 22,838 + 22,839 + 22,840
Aliquot sequence: 137,025 160,575 105,033 36,535 7,313 175 73 1 0 — terminates at zero

Continued fraction of √n

√137,025 = [370; (5, 1, 11, 1, 2, 1, 1, 45, 1, 2, 3, 4, 1, 5, 3, 3, 1, 10, 1, 3, 1, 81, 2, 6, …)]

Representations

In words
one hundred thirty-seven thousand twenty-five
Ordinal
137025th
Binary
100001011101000001
Octal
413501
Hexadecimal
0x21741
Base64
AhdB
One's complement
4,294,830,270 (32-bit)
Scientific notation
1.37025 × 10⁵
As a duration
137,025 s = 1 day, 14 hours, 3 minutes, 45 seconds
In other bases
ternary (3) 20221222000
quaternary (4) 201131001
quinary (5) 13341100
senary (6) 2534213
septenary (7) 1110330
nonary (9) 227860
undecimal (11) 93a49
duodecimal (12) 67369
tridecimal (13) 4a4a5
tetradecimal (14) 37d17
pentadecimal (15) 2a900

As an angle

137,025° = 380 × 360° + 225°
225° ≈ 3.927 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζκεʹ
Mayan (base 20)
𝋱·𝋢·𝋫·𝋥
Chinese
一十三萬七千零二十五
Chinese (financial)
壹拾參萬柒仟零貳拾伍
In other modern scripts
Eastern Arabic ١٣٧٠٢٥ Devanagari १३७०२५ Bengali ১৩৭০২৫ Tamil ௧௩௭௦௨௫ Thai ๑๓๗๐๒๕ Tibetan ༡༣༧༠༢༥ Khmer ១៣៧០២៥ Lao ໑໓໗໐໒໕ Burmese ၁၃၇၀၂၅

Also seen as

Unicode codepoint
𡝁
CJK Unified Ideograph-21741
U+21741
Other letter (Lo)

UTF-8 encoding: F0 A1 9D 81 (4 bytes).

Hex color
#021741
RGB(2, 23, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.65.

Address
0.2.23.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.65

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 137,025 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 137025 first appears in π at position 144,624 of the decimal expansion (the 144,624ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.