133125824 has 56 divisors (see below), whose sum is σ = 289956240. Its totient is φ = 60263424.

The previous prime is 133125791. The next prime is 133125829. The reversal of 133125824 is 428521331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133125829) 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, 42587 + ... + 45605.

It is an arithmetic number, because the mean of its divisors is an integer number (5177790).

Almost surely, 2^133125824 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 133125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144978120).

133125824 is an abundant number, since it is smaller than the sum of its proper divisors (156830416).

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

133125824 is a wasteful number, since it uses less digits than its factorization.

133125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3087 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 133125824 is about 11538.0164673136. The cubic root of 133125824 is about 510.6077900552.

The spelling of 133125824 in words is "one hundred thirty-three million, one hundred twenty-five thousand, eight hundred twenty-four".