132195168 has 144 divisors (see below), whose sum is σ = 448471296. Its totient is φ = 36115200.

The previous prime is 132195149. The next prime is 132195169. The reversal of 132195168 is 861591231.

132195168 is a `hidden beast` number, since 132 + 1 + 9 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132195169) 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, 44943 + ... + 47793.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2^132195168 is an apocalyptic number.

132195168 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 132195168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

132195168 is an abundant number, since it is smaller than the sum of its proper divisors (316276128).

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

132195168 is a wasteful number, since it uses less digits than its factorization.

132195168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2886 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 132195168 is about 11497.6157528420. The cubic root of 132195168 is about 509.4151542636.

The spelling of 132195168 in words is "one hundred thirty-two million, one hundred ninety-five thousand, one hundred sixty-eight".