132968160 has 144 divisors (see below), whose sum is σ = 488726784. Its totient is φ = 32726016.

The previous prime is 132968153. The next prime is 132968177. The reversal of 132968160 is 61869231.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15169 + ... + 22271.

It is an arithmetic number, because the mean of its divisors is an integer number (3393936).

Almost surely, 2^132968160 is an apocalyptic number.

132968160 is a gapful number since it is divisible by the number (10) 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 132968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244363392).

132968160 is an abundant number, since it is smaller than the sum of its proper divisors (355758624).

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

132968160 is a wasteful number, since it uses less digits than its factorization.

132968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 132968160 is about 11531.1820729707. The cubic root of 132968160 is about 510.4061355447.

The spelling of 132968160 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, one hundred sixty".