132013758240 has 576 divisors, whose sum is σ = 573593529600. Its totient is φ = 26892214272.

The previous prime is 132013758229. The next prime is 132013758251. The reversal of 132013758240 is 42857310231.

132013758240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 37 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (132013758229) and next prime (132013758251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132013758195 and 132013758204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3782791 + ... + 3817529.

It is an arithmetic number, because the mean of its divisors is an integer number (995822100).

Almost surely, 2^132013758240 is an apocalyptic number.

132013758240 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 132013758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286796764800).

132013758240 is an abundant number, since it is smaller than the sum of its proper divisors (441579771360).

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

132013758240 is a wasteful number, since it uses less digits than its factorization.

132013758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34809 (or 34798 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 132013758240 in words is "one hundred thirty-two billion, thirteen million, seven hundred fifty-eight thousand, two hundred forty".