133116293881168 has 320 divisors, whose sum is σ = 307029658844160. Its totient is φ = 55335658291200.

The previous prime is 133116293881159. The next prime is 133116293881187. The reversal of 133116293881168 is 861188392611331.

It is a congruent number.

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, 3910682293 + ... + 3910716331.

It is an arithmetic number, because the mean of its divisors is an integer number (959467683888).

Almost surely, 2^{133116293881168} 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 133116293881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153514829422080).

133116293881168 is an abundant number, since it is smaller than the sum of its proper divisors (173913364962992).

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

133116293881168 is a wasteful number, since it uses less digits than its factorization.

133116293881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34606 (or 34600 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 61.

The spelling of 133116293881168 in words is "one hundred thirty-three trillion, one hundred sixteen billion, two hundred ninety-three million, eight hundred eighty-one thousand, one hundred sixty-eight".