133732057536 has 1260 divisors, whose sum is σ = 535887244200. Its totient is φ = 32763709440.

The previous prime is 133732057519. The next prime is 133732057549. The reversal of 133732057536 is 635750237331.

133732057536 is a `hidden beast` number, since 1 + 3 + 3 + 73 + 2 + 0 + 575 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133732057491 and 133732057500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 583982670 + ... + 583982898.

Almost surely, 2^133732057536 is an apocalyptic number.

133732057536 is a gapful number since it is divisible by the number (16) 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 133732057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267943622100).

133732057536 is an abundant number, since it is smaller than the sum of its proper divisors (402155186664).

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

133732057536 is a wasteful number, since it uses less digits than its factorization.

133732057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 45.

The spelling of 133732057536 in words is "one hundred thirty-three billion, seven hundred thirty-two million, fifty-seven thousand, five hundred thirty-six".