132193656 has 96 divisors (see below), whose sum is σ = 414891360. Its totient is φ = 37241856.

The previous prime is 132193651. The next prime is 132193661. The reversal of 132193656 is 656391231.

It is an interprime number because it is at equal distance from previous prime (132193651) and next prime (132193661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132193656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132193651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34996 + ... + 38588.

It is an arithmetic number, because the mean of its divisors is an integer number (4321785).

Almost surely, 2^132193656 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 132193656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207445680).

132193656 is an abundant number, since it is smaller than the sum of its proper divisors (282697704).

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

132193656 is a wasteful number, since it uses less digits than its factorization.

132193656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3678 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 132193656 is about 11497.5499998913. The cubic root of 132193656 is about 509.4132120881.

The spelling of 132193656 in words is "one hundred thirty-two million, one hundred ninety-three thousand, six hundred fifty-six".