132352888301568 has 2688 divisors, whose sum is σ = 475191882547200. Its totient is φ = 36419449651200.

The previous prime is 132352888301567. The next prime is 132352888301603. The reversal of 132352888301568 is 865103888253231.

It is a happy number.

132352888301568 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 528 + 8 + 8 + 30 + 15 + 68 = 666.

It is a super-2 number, since 2×132352888301568² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132352888301567) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1042148726721 + ... + 1042148726847.

It is an arithmetic number, because the mean of its divisors is an integer number (176782694400).

Almost surely, 2^{132352888301568} is an apocalyptic number.

132352888301568 is a gapful number since it is divisible by the number (18) 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 132352888301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237595941273600).

132352888301568 is an abundant number, since it is smaller than the sum of its proper divisors (342838994245632).

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

132352888301568 is a wasteful number, since it uses less digits than its factorization.

132352888301568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 132352888301568 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, eight hundred eighty-eight million, three hundred one thousand, five hundred sixty-eight".