132564305160 has 256 divisors, whose sum is σ = 511243891200. Its totient is φ = 30300272640.

The previous prime is 132564305123. The next prime is 132564305171. The reversal of 132564305160 is 61503465231.

132564305160 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 643 + 0 + 5 + 1 + 6 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504120 + ... + 720600.

It is an arithmetic number, because the mean of its divisors is an integer number (1997046450).

Almost surely, 2^132564305160 is an apocalyptic number.

132564305160 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 132564305160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255621945600).

132564305160 is an abundant number, since it is smaller than the sum of its proper divisors (378679586040).

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

132564305160 is an equidigital number, since it uses as much as digits as its factorization.

132564305160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216520 (or 216498 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132564305160 in words is "one hundred thirty-two billion, five hundred sixty-four million, three hundred five thousand, one hundred sixty".