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132884136 = 233271122179
BaseRepresentation
bin1111110101110…
…10011010101000
3100021001012202200
413322322122220
5233004243021
621104100200
73202332210
oct772723250
9307035680
10132884136
1169011900
1238604660
13216b8488
1413911240
15b9ed126
hex7eba6a8

132884136 has 144 divisors (see below), whose sum is σ = 452306400. Its totient is φ = 34499520.

The previous prime is 132884123. The next prime is 132884161. The reversal of 132884136 is 631488231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132884136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59895 + ... + 62073.

Almost surely, 2132884136 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 132884136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226153200).

132884136 is an abundant number, since it is smaller than the sum of its proper divisors (319422264).

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

132884136 is a wasteful number, since it uses less digits than its factorization.

132884136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2202 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 132884136 is about 11527.5381586877. The cubic root of 132884136 is about 510.2986025289.

It can be divided in two parts, 13288 and 4136, that added together give a square (17424 = 1322).

The spelling of 132884136 in words is "one hundred thirty-two million, eight hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2179 2541 2772 2904 3388 4356 4358 5082 5544 6537 6776 7623 8712 8716 10164 13074 15246 15253 17432 19611 20328 23969 26148 30492 30506 39222 45759 47938 52296 60984 61012 71907 78444 91518 95876 122024 137277 143814 156888 167783 183036 191752 215721 263659 274554 287628 335566 366072 431442 503349 527318 549108 575256 671132 790977 862884 1006698 1054636 1098216 1342264 1510047 1581954 1725768 1845613 2013396 2109272 2372931 3020094 3163908 3691226 4026792 4745862 5536839 6040188 6327816 7382452 9491724 11073678 12080376 14764904 16610517 18983448 22147356 33221034 44294712 66442068 132884136