132856059168 has 768 divisors, whose sum is σ = 491519508480. Its totient is φ = 34040217600.

The previous prime is 132856059103. The next prime is 132856059169. The reversal of 132856059168 is 861950658231.

132856059168 is a `hidden beast` number, since 1 + 3 + 28 + 5 + 605 + 9 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×132856059168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132856059169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232672323 + ... + 232672893.

It is an arithmetic number, because the mean of its divisors is an integer number (639999360).

Almost surely, 2^132856059168 is an apocalyptic number.

132856059168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132856059168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245759754240).

132856059168 is an abundant number, since it is smaller than the sum of its proper divisors (358663449312).

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

132856059168 is a wasteful number, since it uses less digits than its factorization.

132856059168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 132856059168 in words is "one hundred thirty-two billion, eight hundred fifty-six million, fifty-nine thousand, one hundred sixty-eight".