132002565416704 has 144 divisors (see below), whose sum is σ = 279601304371200. Its totient is φ = 62094724493312.

The previous prime is 132002565416663. The next prime is 132002565416707. The reversal of 132002565416704 is 407614565200231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002565416707) by changing a digit.

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, 78373377 + ... + 80039935.

It is an arithmetic number, because the mean of its divisors is an integer number (1941675724800).

Almost surely, 2^{132002565416704} 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 132002565416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139800652185600).

132002565416704 is an abundant number, since it is smaller than the sum of its proper divisors (147598738954496).

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

132002565416704 is a wasteful number, since it uses less digits than its factorization.

132002565416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666878 (or 1666864 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 132002565416704 in words is "one hundred thirty-two trillion, two billion, five hundred sixty-five million, four hundred sixteen thousand, seven hundred four".