132756517608 has 256 divisors, whose sum is σ = 404097120000. Its totient is φ = 35788677120.

The previous prime is 132756517591. The next prime is 132756517633. The reversal of 132756517608 is 806715657231.

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, 82507908 + ... + 82509516.

It is an arithmetic number, because the mean of its divisors is an integer number (1578504375).

Almost surely, 2^132756517608 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 132756517608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202048560000).

132756517608 is an abundant number, since it is smaller than the sum of its proper divisors (271340602392).

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

132756517608 is a wasteful number, since it uses less digits than its factorization.

132756517608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 132756517608 in words is "one hundred thirty-two billion, seven hundred fifty-six million, five hundred seventeen thousand, six hundred eight".