132825688704 has 256 divisors, whose sum is σ = 403878384000. Its totient is φ = 42948403200.

The previous prime is 132825688571. The next prime is 132825688711. The reversal of 132825688704 is 407886528231.

132825688704 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 2 + 568 + 8 + 70 + 4 = 666.

132825688704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25644387 + ... + 25649565.

Almost surely, 2^132825688704 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 132825688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201939192000).

132825688704 is an abundant number, since it is smaller than the sum of its proper divisors (271052695296).

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

132825688704 is a wasteful number, since it uses less digits than its factorization.

132825688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 132825688704 in words is "one hundred thirty-two billion, eight hundred twenty-five million, six hundred eighty-eight thousand, seven hundred four".