132757125115680 has 576 divisors, whose sum is σ = 506115066562560. Its totient is φ = 32668154966016.

The previous prime is 132757125115619. The next prime is 132757125115723. The reversal of 132757125115680 is 86511521757231.

132757125115680 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 5 + 71 + 2 + 5 + 1 + 1 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632025089 + ... + 1632106431.

It is an arithmetic number, because the mean of its divisors is an integer number (878671990560).

Almost surely, 2^{132757125115680} is an apocalyptic number.

132757125115680 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 132757125115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253057533281280).

132757125115680 is an abundant number, since it is smaller than the sum of its proper divisors (373357941446880).

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

132757125115680 is a wasteful number, since it uses less digits than its factorization.

132757125115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84615 (or 84595 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 132757125115680 in words is "one hundred thirty-two trillion, seven hundred fifty-seven billion, one hundred twenty-five million, one hundred fifteen thousand, six hundred eighty".