133024960 has 56 divisors (see below), whose sum is σ = 318979296. Its totient is φ = 52838400.

The previous prime is 133024897. The next prime is 133024967. The reversal of 133024960 is 69420331.

It is not an unprimeable number, because it can be changed into a prime (133024967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46944 + ... + 49696.

Almost surely, 2^133024960 is an apocalyptic number.

133024960 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 133024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489648).

133024960 is an abundant number, since it is smaller than the sum of its proper divisors (185954336).

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

133024960 is a wasteful number, since it uses less digits than its factorization.

133024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 133024960 is about 11533.6446971458. The cubic root of 133024960 is about 510.4788019169.

The spelling of 133024960 in words is "one hundred thirty-three million, twenty-four thousand, nine hundred sixty".