133115904 has 156 divisors (see below), whose sum is σ = 403783536. Its totient is φ = 42172416.

The previous prime is 133115903. The next prime is 133115959. The reversal of 133115904 is 409511331.

It is not an unprimeable number, because it can be changed into a prime (133115903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847794 + ... + 847950.

It is an arithmetic number, because the mean of its divisors is an integer number (2588356).

Almost surely, 2^133115904 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 133115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201891768).

133115904 is an abundant number, since it is smaller than the sum of its proper divisors (270667632).

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

133115904 is a wasteful number, since it uses less digits than its factorization.

133115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 133115904 is about 11537.5865760565. The cubic root of 133115904 is about 510.5951069285.

The spelling of 133115904 in words is "one hundred thirty-three million, one hundred fifteen thousand, nine hundred four".