133431244200 has 72 divisors (see below), whose sum is σ = 448106601150. Its totient is φ = 35581664640.

The previous prime is 133431244181. The next prime is 133431244211. The reversal of 133431244200 is 2442134331.

133431244200 is a `hidden beast` number, since 1 + 3 + 3 + 431 + 24 + 4 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82733317956 + 50697926244 = 287634^2 + 225162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37062435 + ... + 37066034.

Almost surely, 2^133431244200 is an apocalyptic number.

133431244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133431244200 is an abundant number, since it is smaller than the sum of its proper divisors (314675356950).

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

133431244200 is a wasteful number, since it uses less digits than its factorization.

133431244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74128491 (or 74128479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133431244200 its reverse (2442134331), we get a palindrome (135873378531).

The spelling of 133431244200 in words is "one hundred thirty-three billion, four hundred thirty-one million, two hundred forty-four thousand, two hundred".