133385109056640 has 5120 divisors, whose sum is σ = 610285920583680. Its totient is φ = 27099994521600.

The previous prime is 133385109056627. The next prime is 133385109056659. The reversal of 133385109056640 is 46650901583331.

133385109056640 is a `hidden beast` number, since 1 + 3 + 3 + 38 + 5 + 1 + 0 + 9 + 0 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 973613934652 + ... + 973613934788.

It is an arithmetic number, because the mean of its divisors is an integer number (119196468864).

Almost surely, 2^{133385109056640} is an apocalyptic number.

133385109056640 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 133385109056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305142960291840).

133385109056640 is an abundant number, since it is smaller than the sum of its proper divisors (476900811527040).

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

133385109056640 is a wasteful number, since it uses less digits than its factorization.

133385109056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 133385109056640 in words is "one hundred thirty-three trillion, three hundred eighty-five billion, one hundred nine million, fifty-six thousand, six hundred forty".