133038304200 has 480 divisors, whose sum is σ = 505056245760. Its totient is φ = 32310835200.

The previous prime is 133038304151. The next prime is 133038304229. The reversal of 133038304200 is 2403830331.

133038304200 is a `hidden beast` number, since 1 + 330 + 3 + 8 + 304 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8529609 + ... + 8545191.

It is an arithmetic number, because the mean of its divisors is an integer number (1052200512).

Almost surely, 2^133038304200 is an apocalyptic number.

133038304200 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 133038304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252528122880).

133038304200 is an abundant number, since it is smaller than the sum of its proper divisors (372017941560).

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

133038304200 is a wasteful number, since it uses less digits than its factorization.

133038304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 133038304200 in words is "one hundred thirty-three billion, thirty-eight million, three hundred four thousand, two hundred".