133310400 has 84 divisors (see below), whose sum is σ = 437384952. Its totient is φ = 35548160.

The previous prime is 133310389. The next prime is 133310417. The reversal of 133310400 is 4013331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9087 + ... + 18686.

Almost surely, 2^133310400 is an apocalyptic number.

133310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133310400 is an abundant number, since it is smaller than the sum of its proper divisors (304074552).

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

133310400 is a wasteful number, since it uses less digits than its factorization.

133310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27798 (or 27783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133310400 is about 11546.0122986250. The cubic root of 133310400 is about 510.8436632002.

Adding to 133310400 its reverse (4013331), we get a palindrome (137323731).

The spelling of 133310400 in words is "one hundred thirty-three million, three hundred ten thousand, four hundred".