133802928000 has 1600 divisors, whose sum is σ = 593220204720. Its totient is φ = 29872281600.

The previous prime is 133802927963. The next prime is 133802928019. The reversal of 133802928000 is 829208331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3111695979 + ... + 3111696021.

Almost surely, 2^133802928000 is an apocalyptic number.

133802928000 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 133802928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296610102360).

133802928000 is an abundant number, since it is smaller than the sum of its proper divisors (459417276720).

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

133802928000 is an frugal number, since it uses more digits than its factorization.

133802928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 133802928000 in words is "one hundred thirty-three billion, eight hundred two million, nine hundred twenty-eight thousand".