133432400 has 30 divisors (see below), whose sum is σ = 320572302. Its totient is φ = 53372800.

The previous prime is 133432399. The next prime is 133432417. The reversal of 133432400 is 4234331.

It can be written as a sum of positive squares in 3 ways, for example, as 24522304 + 108910096 = 4952^2 + 10436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166391 + ... + 167190.

Almost surely, 2^133432400 is an apocalyptic number.

133432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133432400 is an abundant number, since it is smaller than the sum of its proper divisors (187139902).

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

133432400 is a wasteful number, since it uses less digits than its factorization.

133432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333599 (or 333588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133432400 is about 11551.2942997744. The cubic root of 133432400 is about 510.9994498075. Note that the first 3 decimals are identical.

Adding to 133432400 its reverse (4234331), we get a palindrome (137666731).

The spelling of 133432400 in words is "one hundred thirty-three million, four hundred thirty-two thousand, four hundred".