Live analysis

137,136

137,136 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.).

137,136 (one hundred thirty-seven thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,857. Its proper divisors sum to 217,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217B0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

137,124 137,125 137,126 137,127 137,128 137,129 137,130 137,131 137,132 137,133 137,134 137,135 137,136 137,137 137,138 137,139 137,140 137,141 137,142 137,143 137,144 137,145 137,146 137,147 137,148

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 378
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 631,731
Square (n²): 18,806,282,496
Cube (n³): 2,579,018,356,371,456
Divisor count: 20
σ(n) — sum of divisors: 354,392
φ(n) — Euler's totient: 45,696
Sum of prime factors: 2,868

Primality

Prime factorization: 2 ⁴ × 3 × 2857

Nearest primes: 137,131 (−5) · 137,143 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2857 · 5714 · 8571 · 11428 · 17142 · 22856 · 34284 · 45712 · 68568 (half) · 137136

Aliquot sum (sum of proper divisors): 217,256

Factor pairs (a × b = 137,136)

1 × 137136

2 × 68568

3 × 45712

4 × 34284

6 × 22856

8 × 17142

12 × 11428

16 × 8571

24 × 5714

48 × 2857

First multiples

137,136 · 274,272 (double) · 411,408 · 548,544 · 685,680 · 822,816 · 959,952 · 1,097,088 · 1,234,224 · 1,371,360

Sums & aliquot sequence

As consecutive integers: 45,711 + 45,712 + 45,713 4,270 + 4,271 + … + 4,301 1,381 + 1,382 + … + 1,476

Aliquot sequence: 137,136 → 217,256 → 221,644 → 166,240 → 226,880 → 314,140 → 356,180 → 460,300 → 538,768 → 516,720 → 1,085,856 → 1,764,768 → 3,025,248 → 4,916,280 → 10,130,280 → 22,528,920 → 45,472,200 — unresolved within range

Continued fraction of √n

√137,136 = [370; (3, 7, 3, 3, 4, 7, 2, 13, 1, 3, 2, 4, 1, 1, 1, 45, 1, 1, 1, 4, 2, 3, 1, 13, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand one hundred thirty-six
Ordinal: 137136th
Binary: 100001011110110000
Octal: 413660
Hexadecimal: 0x217B0
Base64: Ahew
One's complement: 4,294,830,159 (32-bit)
Scientific notation: 1.37136 × 10⁵
As a duration: 137,136 s = 1 day, 14 hours, 5 minutes, 36 seconds

In other bases

ternary (3) 20222010010

quaternary (4) 201132300

quinary (5) 13342021

senary (6) 2534520

septenary (7) 1110546

nonary (9) 228103

undecimal (11) 9403a

duodecimal (12) 67440

tridecimal (13) 4a55c

tetradecimal (14) 37d96

pentadecimal (15) 2a976

As an angle

137,136° = 380 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζρλϛʹ
Mayan (base 20): 𝋱·𝋢·𝋰·𝋰
Chinese: 一十三萬七千一百三十六
Chinese (financial): 壹拾參萬柒仟壹佰參拾陸

In other modern scripts

Eastern Arabic ١٣٧١٣٦ Devanagari १३७१३६ Bengali ১৩৭১৩৬ Tamil ௧௩௭௧௩௬ Thai ๑๓๗๑๓๖ Tibetan ༡༣༧༡༣༦ Khmer ១៣៧១៣៦ Lao ໑໓໗໑໓໖ Burmese ၁၃၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137136, here are decompositions:

5 + 137131 = 137136
17 + 137119 = 137136
19 + 137117 = 137136
47 + 137089 = 137136
59 + 137077 = 137136
107 + 137029 = 137136
137 + 136999 = 137136
149 + 136987 = 137136

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞰

CJK Unified Ideograph-217B0

U+217B0

Other letter (Lo)

UTF-8 encoding: F0 A1 9E B0 (4 bytes).

Lookup U+217B0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217B0

RGB(2, 23, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.176.

Address: 0.2.23.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.176

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 137,136 and was likely granted around 1872.

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

Look up US137,136 on Google Patents ↗ Look up on USPTO ↗