133908767116800 has 480 divisors, whose sum is σ = 476463723120000. Its totient is φ = 32956841164800.

The previous prime is 133908767116771. The next prime is 133908767116823. The reversal of 133908767116800 is 8611767809331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743482915 + ... + 3743518685.

It is an arithmetic number, because the mean of its divisors is an integer number (992632756500).

Almost surely, 2^{133908767116800} is an apocalyptic number.

133908767116800 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 133908767116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238231861560000).

133908767116800 is an abundant number, since it is smaller than the sum of its proper divisors (342554956003200).

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

133908767116800 is a wasteful number, since it uses less digits than its factorization.

133908767116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43314 (or 43293 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 133908767116800 in words is "one hundred thirty-three trillion, nine hundred eight billion, seven hundred sixty-seven million, one hundred sixteen thousand, eight hundred".