132014052511104 has 128 divisors (see below), whose sum is σ = 356986713888000. Its totient is φ = 43213366609920.

The previous prime is 132014052511093. The next prime is 132014052511129. The reversal of 132014052511104 is 401115250410231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9947077 + ... + 19051835.

It is an arithmetic number, because the mean of its divisors is an integer number (2788958702250).

Almost surely, 2^{132014052511104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132014052511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178493356944000).

132014052511104 is an abundant number, since it is smaller than the sum of its proper divisors (224972661376896).

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

132014052511104 is an equidigital number, since it uses as much as digits as its factorization.

132014052511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105456 (or 9105444 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 132014052511104 in words is "one hundred thirty-two trillion, fourteen billion, fifty-two million, five hundred eleven thousand, one hundred four".