132568135168 has 160 divisors (see below), whose sum is σ = 321179443200. Its totient is φ = 53397356544.

The previous prime is 132568135129. The next prime is 132568135243. The reversal of 132568135168 is 861531865231.

It is a super-2 number, since 2×132568135168² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8640528 + ... + 8655856.

It is an arithmetic number, because the mean of its divisors is an integer number (2007371520).

Almost surely, 2^132568135168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132568135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160589721600).

132568135168 is an abundant number, since it is smaller than the sum of its proper divisors (188611308032).

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

132568135168 is a wasteful number, since it uses less digits than its factorization.

132568135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15484 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The spelling of 132568135168 in words is "one hundred thirty-two billion, five hundred sixty-eight million, one hundred thirty-five thousand, one hundred sixty-eight".