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132133162031145 = 325111732091541119
BaseRepresentation
bin11110000010110010100110…
…001011111001100000101001
3122022211210210020201012122100
4132002302212023321200221
5114304332203434444040
61145005045303244013
736555206634615552
oct3602624613714051
9568753706635570
10132133162031145
11391133a5297a20
12129a0360749609
135896146b27712
14248b3ca05b329
151042147cd7b30
hex782ca62f9829

132133162031145 has 48 divisors (see below), whose sum is σ = 249853401907200. Its totient is φ = 64064151970560.

The previous prime is 132133162031077. The next prime is 132133162031173. The reversal of 132133162031145 is 541130261331231.

132133162031145 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 316 + 20 + 311 + 4 + 5 = 666.

It is not a de Polignac number, because 132133162031145 - 229 = 132132625160233 is a prime.

It is a super-2 number, since 2×1321331620311452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84967896 + ... + 86509014.

It is an arithmetic number, because the mean of its divisors is an integer number (5205279206400).

Almost surely, 2132133162031145 is an apocalyptic number.

132133162031145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132133162031145 is a deficient number, since it is larger than the sum of its proper divisors (117720239876055).

132133162031145 is a wasteful number, since it uses less digits than its factorization.

132133162031145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714350 (or 1714347 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 132133162031145 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, one hundred sixty-two million, thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 173209 519627 866045 1541119 1558881 1905299 2598135 4623357 5715897 7705595 7794405 9526495 13870071 16952309 17147691 23116785 28579485 50856927 69350355 84761545 85738455 152570781 254284635 762853905 266935680871 800807042613 1334678404355 2402421127839 2936292489581 4004035213065 8808877468743 12012105639195 14681462447905 26426632406229 44044387343715 132133162031145