133566013462752 has 216 divisors, whose sum is σ = 411388905052944. Its totient is φ = 41087694016512.

The previous prime is 133566013462703. The next prime is 133566013462781. The reversal of 133566013462752 is 257264310665331.

133566013462752 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 6 + 6 + 0 + 1 + 3 + 4 + 627 + 5 + 2 = 666.

133566013462752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210774093 + ... + 211406835.

It is an arithmetic number, because the mean of its divisors is an integer number (1904578264134).

Almost surely, 2^{133566013462752} is an apocalyptic number.

133566013462752 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 133566013462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205694452526472).

133566013462752 is an abundant number, since it is smaller than the sum of its proper divisors (277822891590192).

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

133566013462752 is a wasteful number, since it uses less digits than its factorization.

133566013462752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637122 (or 637098 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 133566013462752 in words is "one hundred thirty-three trillion, five hundred sixty-six billion, thirteen million, four hundred sixty-two thousand, seven hundred fifty-two".