133307328 has 224 divisors, whose sum is σ = 449445888. Its totient is φ = 33868800.

The previous prime is 133307323. The next prime is 133307381. The reversal of 133307328 is 823703331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 133307295 and 133307304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133307323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049601 + ... + 1049727.

Almost surely, 2^133307328 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 133307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

133307328 is an abundant number, since it is smaller than the sum of its proper divisors (316138560).

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

133307328 is a wasteful number, since it uses less digits than its factorization.

133307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 133307328 is about 11545.8792649153. The cubic root of 133307328 is about 510.8397392158.

The spelling of 133307328 in words is "one hundred thirty-three million, three hundred seven thousand, three hundred twenty-eight".