133130304 has 140 divisors (see below), whose sum is σ = 402062188. Its totient is φ = 43545600.

The previous prime is 133130303. The next prime is 133130317. The reversal of 133130304 is 403031331.

133130304 is a `hidden beast` number, since 1 + 331 + 30 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 131056704 = 1440^2 + 11448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316014 + ... + 316434.

Almost surely, 2^133130304 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 133130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201031094).

133130304 is an abundant number, since it is smaller than the sum of its proper divisors (268931884).

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

133130304 is an equidigital number, since it uses as much as digits as its factorization.

133130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133130304 is about 11538.2106065022. The cubic root of 133130304 is about 510.6135177124.

Adding to 133130304 its reverse (403031331), we get a palindrome (536161635).

The spelling of 133130304 in words is "one hundred thirty-three million, one hundred thirty thousand, three hundred four".