133869015168 has 256 divisors, whose sum is σ = 420944240640. Its totient is φ = 36886855680.

The previous prime is 133869015127. The next prime is 133869015191. The reversal of 133869015168 is 861510968331.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133869015168.

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, 25579080 + ... + 25584312.

It is an arithmetic number, because the mean of its divisors is an integer number (1644313440).

Almost surely, 2^133869015168 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 133869015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210472120320).

133869015168 is an abundant number, since it is smaller than the sum of its proper divisors (287075225472).

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

133869015168 is a wasteful number, since it uses less digits than its factorization.

133869015168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 133869015168 in words is "one hundred thirty-three billion, eight hundred sixty-nine million, fifteen thousand, one hundred sixty-eight".