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137,152

137,152 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.).

137,152 (one hundred thirty-seven thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,143. Written other ways, in hexadecimal, 0x217C0.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
251,731
Square (n²)
18,810,671,104
Cube (n³)
2,579,921,163,255,808
Divisor count
14
σ(n) — sum of divisors
272,288
φ(n) — Euler's totient
68,544
Sum of prime factors
2,155

Primality

Prime factorization: 2 6 × 2143

Nearest primes: 137,147 (−5) · 137,153 (+1)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2143 · 4286 · 8572 · 17144 · 34288 · 68576 (half) · 137152
Aliquot sum (sum of proper divisors): 135,136
Factor pairs (a × b = 137,152)
1 × 137152
2 × 68576
4 × 34288
8 × 17144
16 × 8572
32 × 4286
64 × 2143
First multiples
137,152 · 274,304 (double) · 411,456 · 548,608 · 685,760 · 822,912 · 960,064 · 1,097,216 · 1,234,368 · 1,371,520

Sums & aliquot sequence

As consecutive integers: 1,008 + 1,009 + … + 1,135
Aliquot sequence: 137,152 135,136 140,048 131,326 80,858 40,432 54,056 51,244 42,500 55,906 27,956 22,864 21,466 10,736 12,328 12,152 15,208 — unresolved within range

Continued fraction of √n

√137,152 = [370; (2, 1, 15, 10, 1, 4, 1, 4, 1, 21, 1, 1, 1, 1, 1, 1, 5, 2, 1, 3, 1, 10, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred fifty-two
Ordinal
137152nd
Binary
100001011111000000
Octal
413700
Hexadecimal
0x217C0
Base64
AhfA
One's complement
4,294,830,143 (32-bit)
Scientific notation
1.37152 × 10⁵
As a duration
137,152 s = 1 day, 14 hours, 5 minutes, 52 seconds
In other bases
ternary (3) 20222010201
quaternary (4) 201133000
quinary (5) 13342102
senary (6) 2534544
septenary (7) 1110601
nonary (9) 228121
undecimal (11) 94054
duodecimal (12) 67454
tridecimal (13) 4a572
tetradecimal (14) 37da8
pentadecimal (15) 2a987

As an angle

137,152° = 380 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζρνβʹ
Mayan (base 20)
𝋱·𝋢·𝋱·𝋬
Chinese
一十三萬七千一百五十二
Chinese (financial)
壹拾參萬柒仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٧١٥٢ Devanagari १३७१५२ Bengali ১৩৭১৫২ Tamil ௧௩௭௧௫௨ Thai ๑๓๗๑๕๒ Tibetan ༡༣༧༡༥༢ Khmer ១៣៧១៥២ Lao ໑໓໗໑໕໒ Burmese ၁၃၇၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137152, here are decompositions:

  • 5 + 137147 = 137152
  • 173 + 136979 = 137152
  • 179 + 136973 = 137152
  • 263 + 136889 = 137152
  • 269 + 136883 = 137152
  • 293 + 136859 = 137152
  • 311 + 136841 = 137152
  • 383 + 136769 = 137152

Showing the first eight; more decompositions exist.

Unicode codepoint
𡟀
CJK Unified Ideograph-217C0
U+217C0
Other letter (Lo)

UTF-8 encoding: F0 A1 9F 80 (4 bytes).

Hex color
#0217C0
RGB(2, 23, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.192.

Address
0.2.23.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.192

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 137,152 and was likely granted around 1872.

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

Position in π

The digit sequence 137152 first appears in π at position 322,105 of the decimal expansion (the 322,105ordinal-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