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138,375

138,375 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.).

138,375 (one hundred thirty-eight thousand three hundred seventy-five) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3³ × 5³ × 41. Written other ways, in hexadecimal, 0x21C87.

Arithmetic Number Deficient Number Evil Number Gapful Number Harshad / Niven 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
573,831
Recamán's sequence
a(492,077) = 138,375
Square (n²)
19,147,640,625
Cube (n³)
2,649,554,771,484,375
Divisor count
32
σ(n) — sum of divisors
262,080
φ(n) — Euler's totient
72,000
Sum of prime factors
65

Primality

Prime factorization: 3 3 × 5 3 × 41

Nearest primes: 138,373 (−2) · 138,389 (+14)

Divisors & multiples

All divisors (32)
1 · 3 · 5 · 9 · 15 · 25 · 27 · 41 · 45 · 75 · 123 · 125 · 135 · 205 · 225 · 369 · 375 · 615 · 675 · 1025 · 1107 · 1125 · 1845 · 3075 · 3375 · 5125 · 5535 · 9225 · 15375 · 27675 · 46125 · 138375
Aliquot sum (sum of proper divisors): 123,705
Factor pairs (a × b = 138,375)
1 × 138375
3 × 46125
5 × 27675
9 × 15375
15 × 9225
25 × 5535
27 × 5125
41 × 3375
45 × 3075
75 × 1845
123 × 1125
125 × 1107
135 × 1025
205 × 675
225 × 615
369 × 375
First multiples
138,375 · 276,750 (double) · 415,125 · 553,500 · 691,875 · 830,250 · 968,625 · 1,107,000 · 1,245,375 · 1,383,750

Sums & aliquot sequence

As consecutive integers: 69,187 + 69,188 46,124 + 46,125 + 46,126 27,673 + 27,674 + 27,675 + 27,676 + 27,677 23,060 + 23,061 + 23,062 + 23,063 + 23,064 + 23,065
Aliquot sequence: 138,375 123,705 90,795 54,501 20,283 6,765 5,331 1,781 151 1 0 — terminates at zero

Continued fraction of √n

√138,375 = [371; (1, 81, 1, 1, 1, 81, 1, 742)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred seventy-five
Ordinal
138375th
Binary
100001110010000111
Octal
416207
Hexadecimal
0x21C87
Base64
AhyH
One's complement
4,294,828,920 (32-bit)
Scientific notation
1.38375 × 10⁵
As a duration
138,375 s = 1 day, 14 hours, 26 minutes, 15 seconds
In other bases
ternary (3) 21000211000
quaternary (4) 201302013
quinary (5) 13412000
senary (6) 2544343
septenary (7) 1114266
nonary (9) 230730
undecimal (11) 94a66
duodecimal (12) 680b3
tridecimal (13) 4aca3
tetradecimal (14) 385dd
pentadecimal (15) 2b000

As an angle

138,375° = 384 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητοεʹ
Mayan (base 20)
𝋱·𝋥·𝋲·𝋯
Chinese
一十三萬八千三百七十五
Chinese (financial)
壹拾參萬捌仟參佰柒拾伍
In other modern scripts
Eastern Arabic ١٣٨٣٧٥ Devanagari १३८३७५ Bengali ১৩৮৩৭৫ Tamil ௧௩௮௩௭௫ Thai ๑๓๘๓๗๕ Tibetan ༡༣༨༣༧༥ Khmer ១៣៨៣៧៥ Lao ໑໓໘໓໗໕ Burmese ၁၃၈၃၇၅

Also seen as

Unicode codepoint
𡲇
CJK Unified Ideograph-21C87
U+21C87
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 87 (4 bytes).

Hex color
#021C87
RGB(2, 28, 135)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.135.

Address
0.2.28.135
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.135

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 138,375 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°.