132656316225642 has 160 divisors (see below), whose sum is σ = 339239619987840. Its totient is φ = 38352255511680.

The previous prime is 132656316225623. The next prime is 132656316225659. The reversal of 132656316225642 is 246522613656231.

132656316225642 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 6 + 3 + 1 + 622 + 5 + 6 + 4 + 2 = 666.

132656316225642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132656316225642³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11783368 + ... + 20103740.

It is an arithmetic number, because the mean of its divisors is an integer number (2120247624924).

Almost surely, 2^{132656316225642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132656316225642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169619809993920).

132656316225642 is an abundant number, since it is smaller than the sum of its proper divisors (206583303762198).

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

132656316225642 is a wasteful number, since it uses less digits than its factorization.

132656316225642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320810 (or 8320801 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 132656316225642 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred sixteen million, two hundred twenty-five thousand, six hundred forty-two".