132717637527552 has 1440 divisors, whose sum is σ = 519299182321920. Its totient is φ = 33359413248000.

The previous prime is 132717637527551. The next prime is 132717637527557. The reversal of 132717637527552 is 255725736717231.

132717637527552 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 7 + 6 + 3 + 75 + 2 + 7 + 552 = 666.

It is a super-2 number, since 2×132717637527552² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 132717637527552.

It is not an unprimeable number, because it can be changed into a prime (132717637527551) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2771798652 + ... + 2771846532.

It is an arithmetic number, because the mean of its divisors is an integer number (360624432168).

Almost surely, 2^{132717637527552} is an apocalyptic number.

132717637527552 is a gapful number since it is divisible by the number (12) 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 132717637527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259649591160960).

132717637527552 is an abundant number, since it is smaller than the sum of its proper divisors (386581544794368).

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

132717637527552 is a wasteful number, since it uses less digits than its factorization.

132717637527552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47971 (or 47935 counting only the distinct ones).

The product of its digits is 129654000, while the sum is 63.

The spelling of 132717637527552 in words is "one hundred thirty-two trillion, seven hundred seventeen billion, six hundred thirty-seven million, five hundred twenty-seven thousand, five hundred fifty-two".