132318957120 has 672 divisors, whose sum is σ = 505063060992. Its totient is φ = 29248192512.

The previous prime is 132318957079. The next prime is 132318957157. The reversal of 132318957120 is 21759813231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214455052 + ... + 214455668.

It is an arithmetic number, because the mean of its divisors is an integer number (751581936).

Almost surely, 2^132318957120 is an apocalyptic number.

132318957120 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 132318957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252531530496).

132318957120 is an abundant number, since it is smaller than the sum of its proper divisors (372744103872).

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

132318957120 is a wasteful number, since it uses less digits than its factorization.

132318957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 132318957120 in words is "one hundred thirty-two billion, three hundred eighteen million, nine hundred fifty-seven thousand, one hundred twenty".