132757349760 has 512 divisors, whose sum is σ = 551892787200. Its totient is φ = 29523419136.

The previous prime is 132757349741. The next prime is 132757349819. The reversal of 132757349760 is 67943757231.

132757349760 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 573 + 4 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132757349697 and 132757349706.

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, 4460689 + ... + 4490351.

It is an arithmetic number, because the mean of its divisors is an integer number (1077915600).

Almost surely, 2^132757349760 is an apocalyptic number.

132757349760 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 132757349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275946393600).

132757349760 is an abundant number, since it is smaller than the sum of its proper divisors (419135437440).

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

132757349760 is a wasteful number, since it uses less digits than its factorization.

132757349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29735 (or 29717 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 132757349760 in words is "one hundred thirty-two billion, seven hundred fifty-seven million, three hundred forty-nine thousand, seven hundred sixty".