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132

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132 is an integer.

Membership in core sequences

Even numbers ..., 126, 128, 130, 132, 134, 136, 138, ... A005843
Composite numbers ..., 128, 129, 130, 132, 133, 134, 135, ... A002808
Oblong numbers ..., 72, 90, 110, 132, 156, 182, 210, ... A002378
Catalan numbers ..., 5, 14, 42, 132, 429, 1430, 4862, ... A000108
Quarter-squares ..., 100, 110, 121, 132, 144, 156, 169, ... A002620

Sequences pertaining to 132

Multiples of 132 0, 132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320, 1452, 1584, ...
sequence beginning at 11 11, 76, 38, 19, 132, 66, 33, 230, 115, 804, 402, 201, 1406, 703, 4920, ... A287330

Partitions of 132

There are 6620830889 partitions of 132.

The Goldbach representations of 132 are: 127 + 5 = 113 + 19 = 109 + 23 = 103 + 29 = 101 + 31 = 89 + 43 = 79 + 53 = 73 + 59 = 71 + 61 = 132.

Roots and powers of 132

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

TABLE GOES HERE

Values for number theoretic functions with 132 as an argument

0
−3
32
336
12
40
4
2
10 This is the Carmichael lambda function.
1 This is the Liouville lambda function.

Factorization of 132 in some quadratic integer rings

In , 132 has the prime factorization of 2 2 × 3 × 11. But it has different factorizations in some quadratic integer rings.

TABLE GOES HERE

Representation of 132 in various bases

Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Representation 10000100 11220 2010 1012 340 246 204 156 132 110 B0 A2 96 8C 84 7D 76 6I 6C

Notice that 132 is the smallest number which is the sum of all of the 2-digit numbers that can be formed with its base 10 digits: 13 + 12 + 31 + 32 + 21 + 23 = 132.

See also

Some integers
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