Live analysis

137,664

137,664 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.).

137,664 (one hundred thirty-seven thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 239. Its proper divisors sum to 258,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219C0.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,652 137,653 137,654 137,655 137,656 137,657 137,658 137,659 137,660 137,661 137,662 137,663 137,664 137,665 137,666 137,667 137,668 137,669 137,670 137,671 137,672 137,673 137,674 137,675 137,676

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 3,024
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 466,731
Recamán's sequence: a(493,499) = 137,664
Square (n²): 18,951,376,896
Cube (n³): 2,608,922,349,010,944
Divisor count: 42
σ(n) — sum of divisors: 396,240
φ(n) — Euler's totient: 45,696
Sum of prime factors: 257

Primality

Prime factorization: 2 ⁶ × 3 ² × 239

Nearest primes: 137,659 (−5) · 137,699 (+35)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 239 · 288 · 478 · 576 · 717 · 956 · 1434 · 1912 · 2151 · 2868 · 3824 · 4302 · 5736 · 7648 · 8604 · 11472 · 15296 · 17208 · 22944 · 34416 · 45888 · 68832 (half) · 137664

Aliquot sum (sum of proper divisors): 258,576

Factor pairs (a × b = 137,664)

1 × 137664

2 × 68832

3 × 45888

4 × 34416

6 × 22944

8 × 17208

9 × 15296

12 × 11472

16 × 8604

18 × 7648

24 × 5736

32 × 4302

36 × 3824

48 × 2868

64 × 2151

72 × 1912

96 × 1434

144 × 956

192 × 717

239 × 576

288 × 478

First multiples

137,664 · 275,328 (double) · 412,992 · 550,656 · 688,320 · 825,984 · 963,648 · 1,101,312 · 1,238,976 · 1,376,640

Sums & aliquot sequence

As consecutive integers: 45,887 + 45,888 + 45,889 15,292 + 15,293 + … + 15,300 1,012 + 1,013 + … + 1,139 457 + 458 + … + 695

Aliquot sequence: 137,664 → 258,576 → 409,536 → 819,824 → 768,616 → 722,684 → 649,876 → 620,204 → 548,740 → 603,656 → 547,684 → 416,216 → 364,204 → 281,420 → 309,604 → 287,636 → 215,734 — unresolved within range

Continued fraction of √n

√137,664 = [371; (32, 3, 1, 4, 2, 1, 2, 1, 3, 4, 1, 1, 2, 1, 1, 4, 3, 1, 2, 1, 2, 4, 1, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand six hundred sixty-four
Ordinal: 137664th
Binary: 100001100111000000
Octal: 414700
Hexadecimal: 0x219C0
Base64: AhnA
One's complement: 4,294,829,631 (32-bit)
Scientific notation: 1.37664 × 10⁵
As a duration: 137,664 s = 1 day, 14 hours, 14 minutes, 24 seconds

In other bases

ternary (3) 20222211200

quaternary (4) 201213000

quinary (5) 13401124

senary (6) 2541200

septenary (7) 1112232

nonary (9) 228750

undecimal (11) 9447a

duodecimal (12) 67800

tridecimal (13) 4a877

tetradecimal (14) 38252

pentadecimal (15) 2abc9

As an angle

137,664° = 382 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζχξδʹ
Mayan (base 20): 𝋱·𝋤·𝋣·𝋤
Chinese: 一十三萬七千六百六十四
Chinese (financial): 壹拾參萬柒仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٣٧٦٦٤ Devanagari १३७६६४ Bengali ১৩৭৬৬৪ Tamil ௧௩௭௬௬௪ Thai ๑๓๗๖๖๔ Tibetan ༡༣༧༦༦༤ Khmer ១៣៧៦៦៤ Lao ໑໓໗໖໖໔ Burmese ၁၃၇၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137664, here are decompositions:

5 + 137659 = 137664
11 + 137653 = 137664
31 + 137633 = 137664
41 + 137623 = 137664
67 + 137597 = 137664
71 + 137593 = 137664
97 + 137567 = 137664
127 + 137537 = 137664

Showing the first eight; more decompositions exist.

Unicode codepoint

𡧀

CJK Unified Ideograph-219C0

U+219C0

Other letter (Lo)

UTF-8 encoding: F0 A1 A7 80 (4 bytes).

Lookup U+219C0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0219C0

RGB(2, 25, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.192.

Address: 0.2.25.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.25.192

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 137,664 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 US137,664 on Google Patents ↗ Look up on USPTO ↗