133864900 has 81 divisors (see below), whose sum is σ = 318124821. Its totient is φ = 48871680.

The previous prime is 133864879. The next prime is 133864903. The reversal of 133864900 is 9468331.

The square root of 133864900 is 11570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 133033156 + 831744 = 11534^2 + 912^2 .

It is a super-2 number, since 2×133864900² = 35839622904020000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133864903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1504056 + ... + 1504144.

Almost surely, 2^133864900 is an apocalyptic number.

133864900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133864900 is the 11570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133864900

133864900 is an abundant number, since it is smaller than the sum of its proper divisors (184259921).

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

133864900 is a wasteful number, since it uses less digits than its factorization.

133864900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 133864900 is about 511.5509622948.

The spelling of 133864900 in words is "one hundred thirty-three million, eight hundred sixty-four thousand, nine hundred".