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Number

138

138 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Ascending Digits Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Historical context — 138 AD

Calendar year

Year 138 (CXXXVIII) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 138 BC

Calendar year

Year 138 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Wednesday
January 1, 138
Ended on
Wednesday
December 31, 138
Friday the 13ths
1
One Friday the 13th this year.
Decade
130s
130–139
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,888
1888 years before 2026.

In other calendars

Hebrew
3898 / 3899 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
681 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
130 / 131 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
60 / 59 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
8 bits
Reversed
831
Recamán's sequence
a(120) = 138
Square (n²)
19,044
Cube (n³)
2,628,072
Divisor count
8
σ(n) — sum of divisors
288
φ(n) — Euler's totient
44
Sum of prime factors
28

Primality

Prime factorization: 2 × 3 × 23

Nearest primes: 137 (−1) · 139 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23 · 46 · 69 (half) · 138
Aliquot sum (sum of proper divisors): 150
Factor pairs (a × b = 138)
1 × 138
2 × 69
3 × 46
6 × 23
First multiples
138 · 276 (double) · 414 · 552 · 690 · 828 · 966 · 1,104 · 1,242 · 1,380

Sums & aliquot sequence

As consecutive integers: 45 + 46 + 47 33 + 34 + 35 + 36 6 + 7 + … + 17
Aliquot sequence: 138 150 222 234 312 528 960 2,088 3,762 5,598 6,570 10,746 13,254 13,830 19,434 20,886 21,606 — unresolved within range

Representations

In words
one hundred thirty-eight
Ordinal
138th
Roman numeral
CXXXVIII
Binary
10001010
Octal
212
Hexadecimal
0x8A
Base64
ig==
One's complement
117 (8-bit)
In other bases
ternary (3) 12010
quaternary (4) 2022
quinary (5) 1023
senary (6) 350
septenary (7) 255
nonary (9) 163
undecimal (11) 116
duodecimal (12) b6
tridecimal (13) a8
tetradecimal (14) 9c
pentadecimal (15) 93

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ρληʹ
Mayan (base 20)
𝋦·𝋲
Chinese
一百三十八
Chinese (financial)
壹佰參拾捌
In other modern scripts
Eastern Arabic ١٣٨ Devanagari १३८ Bengali ১৩৮ Tamil ௧௩௮ Thai ๑๓๘ Tibetan ༡༣༨ Khmer ១៣៨ Lao ໑໓໘ Burmese ၁၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 138 = 3
e — Euler's number (e)
Digit 138 = 7
φ — Golden ratio (φ)
Digit 138 = 3
√2 — Pythagoras's (√2)
Digit 138 = 1
ln 2 — Natural log of 2
Digit 138 = 5
γ — Euler-Mascheroni (γ)
Digit 138 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138, here are decompositions:

  • 7 + 131 = 138
  • 11 + 127 = 138
  • 29 + 109 = 138
  • 31 + 107 = 138
  • 37 + 101 = 138
  • 41 + 97 = 138
  • 59 + 79 = 138
  • 67 + 71 = 138

Showing the first eight; more decompositions exist.

Unicode codepoint
Š
Line Tabulation Set
U+008A
Control character (Cc)

UTF-8 encoding: C2 8A (2 bytes).

Hex color
#00008A
RGB(0, 0, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.138.

Address
0.0.0.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.138

Unspecified address (0.0.0.0/8) — "this network" placeholder.