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138,152

138,152 is a composite number, even.

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.).

138,152 (one hundred thirty-eight thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,467. Its proper divisors sum to 158,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BA8.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
251,831
Recamán's sequence
a(492,523) = 138,152
Square (n²)
19,085,975,104
Cube (n³)
2,636,765,632,567,808
Divisor count
16
σ(n) — sum of divisors
296,160
φ(n) — Euler's totient
59,184
Sum of prime factors
2,480

Primality

Prime factorization: 2 3 × 7 × 2467

Nearest primes: 138,143 (−9) · 138,157 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2467 · 4934 · 9868 · 17269 · 19736 · 34538 · 69076 (half) · 138152
Aliquot sum (sum of proper divisors): 158,008
Factor pairs (a × b = 138,152)
1 × 138152
2 × 69076
4 × 34538
7 × 19736
8 × 17269
14 × 9868
28 × 4934
56 × 2467
First multiples
138,152 · 276,304 (double) · 414,456 · 552,608 · 690,760 · 828,912 · 967,064 · 1,105,216 · 1,243,368 · 1,381,520

Sums & aliquot sequence

As consecutive integers: 19,733 + 19,734 + … + 19,739 8,627 + 8,628 + … + 8,642 1,178 + 1,179 + … + 1,289
Aliquot sequence: 138,152 158,008 138,272 145,228 108,928 123,632 115,936 112,376 117,664 114,050 98,176 116,024 101,536 110,144 108,550 110,186 59,674 — unresolved within range

Continued fraction of √n

√138,152 = [371; (1, 2, 4, 1, 6, 2, 2, 8, 23, 1, 6, 5, 3, 1, 1, 5, 1, 1, 2, 1, 3, 1, 4, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred fifty-two
Ordinal
138152nd
Binary
100001101110101000
Octal
415650
Hexadecimal
0x21BA8
Base64
Ahuo
One's complement
4,294,829,143 (32-bit)
Scientific notation
1.38152 × 10⁵
As a duration
138,152 s = 1 day, 14 hours, 22 minutes, 32 seconds
In other bases
ternary (3) 21000111202
quaternary (4) 201232220
quinary (5) 13410102
senary (6) 2543332
septenary (7) 1113530
nonary (9) 230452
undecimal (11) 94883
duodecimal (12) 67b48
tridecimal (13) 4ab61
tetradecimal (14) 384c0
pentadecimal (15) 2ae02

As an angle

138,152° = 383 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληρνβʹ
Mayan (base 20)
𝋱·𝋥·𝋧·𝋬
Chinese
一十三萬八千一百五十二
Chinese (financial)
壹拾參萬捌仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٨١٥٢ Devanagari १३८१५२ Bengali ১৩৮১৫২ Tamil ௧௩௮௧௫௨ Thai ๑๓๘๑๕๒ Tibetan ༡༣༨༡༥༢ Khmer ១៣៨១៥២ Lao ໑໓໘໑໕໒ Burmese ၁၃၈၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138152, here are decompositions:

  • 13 + 138139 = 138152
  • 73 + 138079 = 138152
  • 211 + 137941 = 138152
  • 241 + 137911 = 138152
  • 283 + 137869 = 138152
  • 349 + 137803 = 138152
  • 409 + 137743 = 138152
  • 439 + 137713 = 138152

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮨
CJK Unified Ideograph-21Ba8
U+21BA8
Other letter (Lo)

UTF-8 encoding: F0 A1 AE A8 (4 bytes).

Hex color
#021BA8
RGB(2, 27, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.168.

Address
0.2.27.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.168

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 138,152 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.