133013579904 has 192 divisors, whose sum is σ = 395071092000. Its totient is φ = 42934358016.

The previous prime is 133013579899. The next prime is 133013579929. The reversal of 133013579904 is 409975310331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×133013579904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133013579904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4539252 + ... + 4568460.

Almost surely, 2^133013579904 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 133013579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197535546000).

133013579904 is an abundant number, since it is smaller than the sum of its proper divisors (262057512096).

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

133013579904 is a wasteful number, since it uses less digits than its factorization.

133013579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29355 (or 29340 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 133013579904 in words is "one hundred thirty-three billion, thirteen million, five hundred seventy-nine thousand, nine hundred four".