133113904 has 80 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 51310080.

The previous prime is 133113881. The next prime is 133113913. The reversal of 133113904 is 409311331.

It is a super-2 number, since 2×133113904² = 35438622876242432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126372 + ... + 127420.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^133113904 is an apocalyptic number.

133113904 is a gapful number since it is divisible by the number (14) 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 133113904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

133113904 is an abundant number, since it is smaller than the sum of its proper divisors (191865296).

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

133113904 is a wasteful number, since it uses less digits than its factorization.

133113904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 133113904 is about 11537.4999024919. The cubic root of 133113904 is about 510.5925497701.

The spelling of 133113904 in words is "one hundred thirty-three million, one hundred thirteen thousand, nine hundred four".