132168000 has 112 divisors (see below), whose sum is σ = 436497984. Its totient is φ = 35238400.

The previous prime is 132167977. The next prime is 132168031. The reversal of 132168000 is 861231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21247 + ... + 26753.

Almost surely, 2^132168000 is an apocalyptic number.

132168000 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 132168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218248992).

132168000 is an abundant number, since it is smaller than the sum of its proper divisors (304329984).

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

132168000 is an equidigital number, since it uses as much as digits as its factorization.

132168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 132168000 is about 11496.4342297949. The cubic root of 132168000 is about 509.3802545031.

The spelling of 132168000 in words is "one hundred thirty-two million, one hundred sixty-eight thousand".