Live analysis

137,200

137,200 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.).

137,200 (one hundred thirty-seven thousand two hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7³. Its proper divisors sum to 247,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217F0.

Abundant Number Achilles Number Gapful Number Odious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,188 137,189 137,190 137,191 137,192 137,193 137,194 137,195 137,196 137,197 137,198 137,199 137,200 137,201 137,202 137,203 137,204 137,205 137,206 137,207 137,208 137,209 137,210 137,211 137,212

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 18 bits
Reversed: 2,731
Square (n²): 18,823,840,000
Cube (n³): 2,582,630,848,000,000
Divisor count: 60
σ(n) — sum of divisors: 384,400
φ(n) — Euler's totient: 47,040
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁴ × 5 ² × 7 ³

Nearest primes: 137,197 (−3) · 137,201 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 49 · 50 · 56 · 70 · 80 · 98 · 100 · 112 · 140 · 175 · 196 · 200 · 245 · 280 · 343 · 350 · 392 · 400 · 490 · 560 · 686 · 700 · 784 · 980 · 1225 · 1372 · 1400 · 1715 · 1960 · 2450 · 2744 · 2800 · 3430 · 3920 · 4900 · 5488 · 6860 · 8575 · 9800 · 13720 · 17150 · 19600 · 27440 · 34300 · 68600 (half) · 137200

Aliquot sum (sum of proper divisors): 247,200

Factor pairs (a × b = 137,200)

1 × 137200

2 × 68600

4 × 34300

5 × 27440

7 × 19600

8 × 17150

10 × 13720

14 × 9800

16 × 8575

20 × 6860

25 × 5488

28 × 4900

35 × 3920

40 × 3430

49 × 2800

50 × 2744

56 × 2450

70 × 1960

80 × 1715

98 × 1400

100 × 1372

112 × 1225

140 × 980

175 × 784

196 × 700

200 × 686

245 × 560

280 × 490

343 × 400

350 × 392

First multiples

137,200 · 274,400 (double) · 411,600 · 548,800 · 686,000 · 823,200 · 960,400 · 1,097,600 · 1,234,800 · 1,372,000

Sums & aliquot sequence

As consecutive integers: 27,438 + 27,439 + 27,440 + 27,441 + 27,442 19,597 + 19,598 + … + 19,603 5,476 + 5,477 + … + 5,500 4,272 + 4,273 + … + 4,303

Aliquot sequence: 137,200 → 247,200 → 565,248 → 1,007,520 → 2,167,680 → 4,747,920 → 10,227,312 → 18,395,360 → 27,626,896 → 30,766,688 → 29,805,292 → 28,173,860 → 41,341,852 → 32,040,548 → 24,030,418 → 14,227,502 → 7,113,754 — unresolved within range

Continued fraction of √n

√137,200 = [370; (2, 2, 7, 3, 6, 2, 1, 4, 2, 5, 1, 14, 3, 1, 1, 1, 9, 9, 23, 1, 3, 1, 2, 2, …)]

Representations

In words: one hundred thirty-seven thousand two hundred
Ordinal: 137200th
Binary: 100001011111110000
Octal: 413760
Hexadecimal: 0x217F0
Base64: Ahfw
One's complement: 4,294,830,095 (32-bit)
Scientific notation: 1.372 × 10⁵
As a duration: 137,200 s = 1 day, 14 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 20222012111

quaternary (4) 201133300

quinary (5) 13342300

senary (6) 2535104

septenary (7) 1111000

nonary (9) 228174

undecimal (11) 94098

duodecimal (12) 67494

tridecimal (13) 4a5ab

tetradecimal (14) 38000

pentadecimal (15) 2a9ba

As an angle

137,200° = 381 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian): ͵ρλζσʹ
Mayan (base 20): 𝋱·𝋣·𝋠·𝋠
Chinese: 一十三萬七千二百
Chinese (financial): 壹拾參萬柒仟貳佰

In other modern scripts

Eastern Arabic ١٣٧٢٠٠ Devanagari १३७२०० Bengali ১৩৭২০০ Tamil ௧௩௭௨௦௦ Thai ๑๓๗๒๐๐ Tibetan ༡༣༧༢༠༠ Khmer ១៣៧២០០ Lao ໑໓໗໒໐໐ Burmese ၁၃၇၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137200, here are decompositions:

3 + 137197 = 137200
17 + 137183 = 137200
23 + 137177 = 137200
47 + 137153 = 137200
53 + 137147 = 137200
83 + 137117 = 137200
113 + 137087 = 137200
227 + 136973 = 137200

Showing the first eight; more decompositions exist.

Unicode codepoint

𡟰

CJK Unified Ideograph-217F0

U+217F0

Other letter (Lo)

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

Lookup U+217F0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217F0

RGB(2, 23, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.240.

Address: 0.2.23.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.240

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 137,200 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 US137,200 on Google Patents ↗ Look up on USPTO ↗