133115828560 has 320 divisors, whose sum is σ = 399394437120. Its totient is φ = 40488560640.

The previous prime is 133115828539. The next prime is 133115828561. The reversal of 133115828560 is 65828511331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133115828561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4985967 + ... + 5012593.

It is an arithmetic number, because the mean of its divisors is an integer number (1248107616).

Almost surely, 2^133115828560 is an apocalyptic number.

133115828560 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 133115828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199697218560).

133115828560 is an abundant number, since it is smaller than the sum of its proper divisors (266278608560).

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

133115828560 is a wasteful number, since it uses less digits than its factorization.

133115828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26706 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 133115828560 in words is "one hundred thirty-three billion, one hundred fifteen million, eight hundred twenty-eight thousand, five hundred sixty".