132013534016 has 112 divisors (see below), whose sum is σ = 322598954496. Its totient is φ = 52195774464.

The previous prime is 132013533997. The next prime is 132013534027. The reversal of 132013534016 is 610435310231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 132013534016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12440585 + ... + 12451191.

It is an arithmetic number, because the mean of its divisors is an integer number (2880347808).

Almost surely, 2^132013534016 is an apocalyptic number.

132013534016 is a gapful number since it is divisible by the number (16) 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 132013534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161299477248).

132013534016 is an abundant number, since it is smaller than the sum of its proper divisors (190585420480).

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

132013534016 is a wasteful number, since it uses less digits than its factorization.

132013534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 132013534016 its reverse (610435310231), we get a palindrome (742448844247).

The spelling of 132013534016 in words is "one hundred thirty-two billion, thirteen million, five hundred thirty-four thousand, sixteen".