132116817600 has 504 divisors, whose sum is σ = 489595808208. Its totient is φ = 33758208000.

The previous prime is 132116817577. The next prime is 132116817629. The reversal of 132116817600 is 6718611231.

132116817600 is a `hidden beast` number, since 1 + 3 + 21 + 16 + 8 + 17 + 600 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 35695750 + ... + 35699450.

Almost surely, 2^132116817600 is an apocalyptic number.

132116817600 is a gapful number since it is divisible by the number (10) 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 132116817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244797904104).

132116817600 is an abundant number, since it is smaller than the sum of its proper divisors (357478990608).

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

132116817600 is a wasteful number, since it uses less digits than its factorization.

132116817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 132116817600 in words is "one hundred thirty-two billion, one hundred sixteen million, eight hundred seventeen thousand, six hundred".