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132919956 = 2232131911487
BaseRepresentation
bin1111110110000…
…11001010010100
3100021010000220100
413323003022110
5233011414311
621104534100
73202541511
oct773031224
9307100810
10132919956
1169036804
1238621330
13216cb880
1413920308
15ba08a56
hex7ec3294

132919956 has 72 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 40656960.

The previous prime is 132919951. The next prime is 132919993. The reversal of 132919956 is 659919231.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132919951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88645 + ... + 90131.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2132919956 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 132919956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

132919956 is an abundant number, since it is smaller than the sum of its proper divisors (231056748).

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

132919956 is a wasteful number, since it uses less digits than its factorization.

132919956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1696 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 132919956 is about 11529.0917248498. The cubic root of 132919956 is about 510.3444501229.

The spelling of 132919956 in words is "one hundred thirty-two million, nine hundred nineteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 191 234 382 468 573 764 1146 1487 1719 2292 2483 2974 3438 4461 4966 5948 6876 7449 8922 9932 13383 14898 17844 19331 22347 26766 29796 38662 44694 53532 57993 77324 89388 115986 173979 231972 284017 347958 568034 695916 852051 1136068 1704102 2556153 3408204 3692221 5112306 7384442 10224612 11076663 14768884 22153326 33229989 44306652 66459978 132919956