Live analysis

134,000

134,000 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.).

134,000 (one hundred thirty-four thousand) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 67. Its proper divisors sum to 194,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B70.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

133,988 133,989 133,990 133,991 133,992 133,993 133,994 133,995 133,996 133,997 133,998 133,999 134,000 134,001 134,002 134,003 134,004 134,005 134,006 134,007 134,008 134,009 134,010 134,011 134,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 431
Square (n²): 17,956,000,000
Cube (n³): 2,406,104,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 328,848
φ(n) — Euler's totient: 52,800
Sum of prime factors: 90

Primality

Prime factorization: 2 ⁴ × 5 ³ × 67

Nearest primes: 133,999 (−1) · 134,033 (+33)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 67 · 80 · 100 · 125 · 134 · 200 · 250 · 268 · 335 · 400 · 500 · 536 · 670 · 1000 · 1072 · 1340 · 1675 · 2000 · 2680 · 3350 · 5360 · 6700 · 8375 · 13400 · 16750 · 26800 · 33500 · 67000 (half) · 134000

Aliquot sum (sum of proper divisors): 194,848

Factor pairs (a × b = 134,000)

1 × 134000

2 × 67000

4 × 33500

5 × 26800

8 × 16750

10 × 13400

16 × 8375

20 × 6700

25 × 5360

40 × 3350

50 × 2680

67 × 2000

80 × 1675

100 × 1340

125 × 1072

134 × 1000

200 × 670

250 × 536

268 × 500

335 × 400

First multiples

134,000 · 268,000 (double) · 402,000 · 536,000 · 670,000 · 804,000 · 938,000 · 1,072,000 · 1,206,000 · 1,340,000

Sums & aliquot sequence

As a sum of two cubes: 35³ + 45³

As consecutive integers: 26,798 + 26,799 + 26,800 + 26,801 + 26,802 5,348 + 5,349 + … + 5,372 4,172 + 4,173 + … + 4,203 1,967 + 1,968 + … + 2,033

Aliquot sequence: 134,000 → 194,848 → 188,822 → 109,378 → 64,394 → 41,014 → 20,510 → 21,826 → 15,614 → 8,554 → 7,574 → 5,434 → 4,646 → 2,698 → 1,622 → 814 → 554 — unresolved within range

Continued fraction of √n

√134,000 = [366; (16, 1, 1, 1, 3, 5, 1, 3, 2, 28, 1, 5, 2, 1, 8, 1, 1, 2, 1, 1, 23, 29, 4, 7, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-four thousand
Ordinal: 134000th
Binary: 100000101101110000
Octal: 405560
Hexadecimal: 0x20B70
Base64: Agtw
One's complement: 4,294,833,295 (32-bit)
Scientific notation: 1.34 × 10⁵
As a duration: 134,000 s = 1 day, 13 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 20210210222

quaternary (4) 200231300

quinary (5) 13242000

senary (6) 2512212

septenary (7) 1065446

nonary (9) 223728

undecimal (11) 91749

duodecimal (12) 65668

tridecimal (13) 48cb9

tetradecimal (14) 36b96

pentadecimal (15) 29a85

As an angle

134,000° = 372 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρλδ
Mayan (base 20): 𝋰·𝋯·𝋠·𝋠
Chinese: 一十三萬四千
Chinese (financial): 壹拾參萬肆仟

In other modern scripts

Eastern Arabic ١٣٤٠٠٠ Devanagari १३४००० Bengali ১৩৪০০০ Tamil ௧௩௪௦௦௦ Thai ๑๓๔๐๐๐ Tibetan ༡༣༤༠༠༠ Khmer ១៣៤០០០ Lao ໑໓໔໐໐໐ Burmese ၁၃၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134000, here are decompositions:

7 + 133993 = 134000
19 + 133981 = 134000
37 + 133963 = 134000
127 + 133873 = 134000
157 + 133843 = 134000
199 + 133801 = 134000
277 + 133723 = 134000
283 + 133717 = 134000

Showing the first eight; more decompositions exist.

Unicode codepoint

𠭰

CJK Unified Ideograph-20B70

U+20B70

Other letter (Lo)

UTF-8 encoding: F0 A0 AD B0 (4 bytes).

Lookup U+20B70 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020B70

RGB(2, 11, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.112.

Address: 0.2.11.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.11.112

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 134,000 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 US134,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 134000 first appears in π at position 44,939 of the decimal expansion (the 44,939ordinal-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.

Look up 134000 on Pi Search ↗