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132561036 = 22341741587
BaseRepresentation
bin1111110011010…
…11100010001100
3100020102210120000
413321223202030
5232413423121
621053124300
73166515216
oct771534214
9306383500
10132561036
1168911083
1238489690
13216043aa
14138695b6
15b987526
hex7e6b88c

132561036 has 120 divisors (see below), whose sum is σ = 376515216. Its totient is φ = 40504320.

The previous prime is 132561017. The next prime is 132561049. The reversal of 132561036 is 630165231.

132561036 is a `hidden beast` number, since 13 + 2 + 5 + 610 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225535 + ... + 226121.

Almost surely, 2132561036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132561036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188257608).

132561036 is an abundant number, since it is smaller than the sum of its proper divisors (243954180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132561036 is a wasteful number, since it uses less digits than its factorization.

132561036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132561036 is about 11513.5153623904. The cubic root of 132561036 is about 509.8846798083.

The spelling of 132561036 in words is "one hundred thirty-two million, five hundred sixty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 587 612 697 738 918 1107 1174 1377 1394 1476 1761 1836 2091 2214 2348 2754 2788 3321 3522 4182 4428 5283 5508 6273 6642 7044 8364 9979 10566 12546 13284 15849 18819 19958 21132 24067 25092 29937 31698 37638 39916 47547 48134 56457 59874 63396 72201 75276 89811 95094 96268 112914 119748 144402 179622 190188 216603 225828 269433 288804 359244 409139 433206 538866 649809 808299 818278 866412 1077732 1227417 1299618 1616598 1636556 1949427 2454834 2599236 3233196 3682251 3898854 4909668 7364502 7797708 11046753 14729004 22093506 33140259 44187012 66280518 132561036