133190304 has 192 divisors, whose sum is σ = 408965760. Its totient is φ = 37601280.

The previous prime is 133190303. The next prime is 133190341. The reversal of 133190304 is 403091331.

It is a super-2 number, since 2×133190304² = 35479314159224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133190303) 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, 972124 + ... + 972260.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 2^133190304 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 133190304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204482880).

133190304 is an abundant number, since it is smaller than the sum of its proper divisors (275775456).

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

133190304 is a wasteful number, since it uses less digits than its factorization.

133190304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 133190304 is about 11540.8103701603. The cubic root of 133190304 is about 510.6902150251.

The spelling of 133190304 in words is "one hundred thirty-three million, one hundred ninety thousand, three hundred four".