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132056116128 = 2533152842727
BaseRepresentation
bin111101011111100101…
…0000110101110100000
3110121212012212202201000
41322333022012232200
54130422331204003
6140355444512000
712353321316006
oct1727712065640
9417765782630
10132056116128
1151006264662
12217153ab600
13c5b6b690b1
14656a5b0a76
15367d60d1a3
hex1ebf286ba0

132056116128 has 48 divisors (see below), whose sum is σ = 385163674560. Its totient is φ = 44018705088.

The previous prime is 132056116099. The next prime is 132056116201. The reversal of 132056116128 is 821611650231.

132056116128 is a `hidden beast` number, since 1 + 3 + 20 + 5 + 6 + 11 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 132056116092 and 132056116101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76420500 + ... + 76422227.

It is an arithmetic number, because the mean of its divisors is an integer number (8024243220).

Almost surely, 2132056116128 is an apocalyptic number.

132056116128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132056116128 is an abundant number, since it is smaller than the sum of its proper divisors (253107558432).

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

132056116128 is a wasteful number, since it uses less digits than its factorization.

132056116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152842746 (or 152842732 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 132056116128 its reverse (821611650231), we get a palindrome (953667766359).

The spelling of 132056116128 in words is "one hundred thirty-two billion, fifty-six million, one hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 152842727 305685454 458528181 611370908 917056362 1222741816 1375584543 1834112724 2445483632 2751169086 3668225448 4126753629 4890967264 5502338172 7336450896 8253507258 11004676344 14672901792 16507014516 22009352688 33014029032 44018705376 66028058064 132056116128