133794808000 has 448 divisors, whose sum is σ = 408463211520. Its totient is φ = 42384384000.

The previous prime is 133794807977. The next prime is 133794808013. The reversal of 133794808000 is 808497331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43622467 + ... + 43625533.

It is an arithmetic number, because the mean of its divisors is an integer number (911748240).

Almost surely, 2^133794808000 is an apocalyptic number.

133794808000 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 133794808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204231605760).

133794808000 is an abundant number, since it is smaller than the sum of its proper divisors (274668403520).

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

133794808000 is a wasteful number, since it uses less digits than its factorization.

133794808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 133794808000 in words is "one hundred thirty-three billion, seven hundred ninety-four million, eight hundred eight thousand".