133198774800 has 480 divisors, whose sum is σ = 543266062080. Its totient is φ = 27133747200.

The previous prime is 133198774781. The next prime is 133198774873. The reversal of 133198774800 is 8477891331.

It is a super-2 number, since 2×133198774800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3145770 + ... + 3187830.

It is an arithmetic number, because the mean of its divisors is an integer number (1131804296).

Almost surely, 2^133198774800 is an apocalyptic number.

133198774800 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 133198774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271633031040).

133198774800 is an abundant number, since it is smaller than the sum of its proper divisors (410067287280).

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

133198774800 is a wasteful number, since it uses less digits than its factorization.

133198774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42131 (or 42120 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 133198774800 in words is "one hundred thirty-three billion, one hundred ninety-eight million, seven hundred seventy-four thousand, eight hundred".