133501065984 has 648 divisors, whose sum is σ = 462148727040. Its totient is φ = 36733132800.

The previous prime is 133501065983. The next prime is 133501066159. The reversal of 133501065984 is 489560105331.

133501065984 is a `hidden beast` number, since 1 + 3 + 3 + 50 + 1 + 0 + 6 + 598 + 4 = 666.

133501065984 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 not an unprimeable number, because it can be changed into a prime (133501065983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304102437 + ... + 304102875.

It is an arithmetic number, because the mean of its divisors is an integer number (713192480).

Almost surely, 2^133501065984 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 133501065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231074363520).

133501065984 is an abundant number, since it is smaller than the sum of its proper divisors (328647661056).

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

133501065984 is a wasteful number, since it uses less digits than its factorization.

133501065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 133501065984 in words is "one hundred thirty-three billion, five hundred one million, sixty-five thousand, nine hundred eighty-four".