133552232356032 has 504 divisors, whose sum is σ = 447950313769920. Its totient is φ = 37931274501120.

The previous prime is 133552232356019. The next prime is 133552232356099. The reversal of 133552232356032 is 230653232255331.

133552232356032 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 2 + 2 + 3 + 2 + 35 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5115558723 + ... + 5115584829.

Almost surely, 2^{133552232356032} is an apocalyptic number.

133552232356032 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 133552232356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223975156884960).

133552232356032 is an abundant number, since it is smaller than the sum of its proper divisors (314398081413888).

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

133552232356032 is a wasteful number, since it uses less digits than its factorization.

133552232356032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27209 (or 27189 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

The spelling of 133552232356032 in words is "one hundred thirty-three trillion, five hundred fifty-two billion, two hundred thirty-two million, three hundred fifty-six thousand, thirty-two".