132016814592 has 640 divisors, whose sum is σ = 430721432064. Its totient is φ = 35502686208.

The previous prime is 132016814591. The next prime is 132016814617. The reversal of 132016814592 is 295418610231.

It is not an unprimeable number, because it can be changed into a prime (132016814591) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 288876828 + ... + 288877284.

Almost surely, 2^132016814592 is an apocalyptic number.

132016814592 is a gapful number since it is divisible by the number (12) 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 132016814592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215360716032).

132016814592 is an abundant number, since it is smaller than the sum of its proper divisors (298704617472).

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

132016814592 is a wasteful number, since it uses less digits than its factorization.

132016814592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 132016814592 in words is "one hundred thirty-two billion, sixteen million, eight hundred fourteen thousand, five hundred ninety-two".