133336960 has 64 divisors (see below), whose sum is σ = 321030720. Its totient is φ = 52955136.

The previous prime is 133336943. The next prime is 133336993. The reversal of 133336960 is 69633331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99817 + ... + 101143.

It is an arithmetic number, because the mean of its divisors is an integer number (5016105).

Almost surely, 2^133336960 is an apocalyptic number.

133336960 is a gapful number since it is divisible by the number (10) 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 133336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160515360).

133336960 is an abundant number, since it is smaller than the sum of its proper divisors (187693760).

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

133336960 is a wasteful number, since it uses less digits than its factorization.

133336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 34.

The square root of 133336960 is about 11547.1624219979. The cubic root of 133336960 is about 510.8775868018.

The spelling of 133336960 in words is "one hundred thirty-three million, three hundred thirty-six thousand, nine hundred sixty".