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132991956 = 2235612243
BaseRepresentation
bin1111110110101…
…00101111010100
3100021020200200000
413323110233110
5233021220311
621110251300
73203261436
oct773245724
9307220600
10132991956
1169085909
1238656b30
1321725586
141393c656
15ba20056
hex7ed4bd4

132991956 has 72 divisors (see below), whose sum is σ = 354498144. Its totient is φ = 43584480.

The previous prime is 132991927. The next prime is 132991967. The reversal of 132991956 is 659199231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58171 + ... + 60413.

Almost surely, 2132991956 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 132991956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177249072).

132991956 is an abundant number, since it is smaller than the sum of its proper divisors (221506188).

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

132991956 is a wasteful number, since it uses less digits than its factorization.

132991956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2309 counting only the distinct ones).

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

The square root of 132991956 is about 11532.2138377677. The cubic root of 132991956 is about 510.4365811790.

The spelling of 132991956 in words is "one hundred thirty-two million, nine hundred ninety-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 2243 3294 4486 4941 6588 6729 8972 9882 13458 14823 19764 20187 26916 29646 40374 59292 60561 80748 121122 136823 181683 242244 273646 363366 410469 545049 547292 726732 820938 1090098 1231407 1641876 2180196 2462814 3694221 4925628 7388442 11082663 14776884 22165326 33247989 44330652 66495978 132991956