135

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135 is an integer. Notice that 1 1 + 3 2 + 5 3 = 1 + 9 + 125 = 135.

Membership in core sequences

Odd numbers	..., 129, 131, 133, 135, 137, 139, 141, ...	A005408
Composite numbers	..., 132, 133, 134, 135, 136, 138, 140, ...	A002808
Lucky numbers	..., 127, 129, 133, 135, 141, 151, 159, ...	A000959

Sequences pertaining to 135

Multiples of 135	0, 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350, 1485, 1620, ...
Divisors of 135	1, 3, 5, 9, 15, 27, 45, 135	A018298

Partitions of 135

There are 9035836076 partitions of 135.

Roots and powers of 135

In the table below, irrational numbers are given truncated to eight decimal places.

TABLE GOES HERE

Values for number theoretic functions with 135 as an argument

$\mu (135)$	0
$M(135)$	−1
$\pi (135)$	32
$\sigma _{1}(135)$	240
$\sigma _{0}(135)$	8
$\phi (135)$	72
$\Omega (135)$	4
$\omega (135)$	2
$\lambda (135)$		This is the Carmichael lambda function.
$\lambda (135)$		This is the Liouville lambda function.

Factorization of 135 in some quadratic integer rings

PLACEHOLDER

TABLE GOES HERE

Representation of 135 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	10000111	12000	2013	1020	343	252	207	160	135	113	B3	A5	99	90	87	7G	79	72	6F

135 is a Harshad number in bases 3, 5, 7, 8, 10, 11, 13, 15, 16, 19, etc.

In binary, 135 is "digitally balanced," having just as many on bits as off bits: four each. See A031443 for more binary digitally balanced numbers.

In decimal, 135 is divisible by each of its digits (see A034838).

See also

Some integers

							$-1$
0	1	2	3	4	5	6	7	8	9
10	11	12	13	14	15	16	17	18	19
20	21	22	23	24	25	26	27	28	29
30	31	32	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
					1729