133123446444032 has 416 divisors, whose sum is σ = 310646251560960. Its totient is φ = 56370871664640.

The previous prime is 133123446444019. The next prime is 133123446444077. The reversal of 133123446444032 is 230444644321331.

It is a super-2 number, since 2×133123446444032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39073507673 + ... + 39073511079.

Almost surely, 2^{133123446444032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133123446444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155323125780480).

133123446444032 is an abundant number, since it is smaller than the sum of its proper divisors (177522805116928).

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

133123446444032 is a wasteful number, since it uses less digits than its factorization.

133123446444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 133123446444032 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, four hundred forty-six million, four hundred forty-four thousand, thirty-two".