133406800 has 30 divisors (see below), whose sum is σ = 320510798. Its totient is φ = 53362560.

The previous prime is 133406789. The next prime is 133406827. The reversal of 133406800 is 8604331.

It can be written as a sum of positive squares in 3 ways, for example, as 788544 + 132618256 = 888^2 + 11516^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166359 + ... + 167158.

Almost surely, 2^133406800 is an apocalyptic number.

133406800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133406800 is an abundant number, since it is smaller than the sum of its proper divisors (187103998).

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

133406800 is a wasteful number, since it uses less digits than its factorization.

133406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333535 (or 333524 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 133406800 is about 11550.1861456861. The cubic root of 133406800 is about 510.9667680335.

The spelling of 133406800 in words is "one hundred thirty-three million, four hundred six thousand, eight hundred".