133400304 has 80 divisors (see below), whose sum is σ = 386557600. Its totient is φ = 44043264.

The previous prime is 133400303. The next prime is 133400329. The reversal of 133400304 is 403004331.

It is a super-2 number, since 2×133400304² = 35591282214584832, which contains 22 as substring.

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 (133400303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45672 + ... + 48504.

It is an arithmetic number, because the mean of its divisors is an integer number (4831970).

Almost surely, 2^133400304 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 133400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193278800).

133400304 is an abundant number, since it is smaller than the sum of its proper divisors (253157296).

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

133400304 is a wasteful number, since it uses less digits than its factorization.

133400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133400304 is about 11549.9049346737. The cubic root of 133400304 is about 510.9584743683.

Adding to 133400304 its reverse (403004331), we get a palindrome (536404635).

The spelling of 133400304 in words is "one hundred thirty-three million, four hundred thousand, three hundred four".