133042291200 has 1800 divisors, whose sum is σ = 614335229508. Its totient is φ = 27311800320.

The previous prime is 133042291183. The next prime is 133042291241. The reversal of 133042291200 is 2192240331.

It is a happy number.

133042291200 is a `hidden beast` number, since 1 + 3 + 30 + 422 + 9 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52049684736 + 80992606464 = 228144^2 + 284592^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3595737582 + ... + 3595737618.

Almost surely, 2^133042291200 is an apocalyptic number.

133042291200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133042291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307167614754).

133042291200 is an abundant number, since it is smaller than the sum of its proper divisors (481292938308).

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

133042291200 is an equidigital number, since it uses as much as digits as its factorization.

133042291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 133042291200 in words is "one hundred thirty-three billion, forty-two million, two hundred ninety-one thousand, two hundred".