132447168 has 168 divisors, whose sum is σ = 439350912. Its totient is φ = 37366272.

The previous prime is 132447151. The next prime is 132447173. The reversal of 132447168 is 861744231.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×132447168² = 35084504622440448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431271 + ... + 431577.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^132447168 is an apocalyptic number.

132447168 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 132447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

132447168 is an abundant number, since it is smaller than the sum of its proper divisors (306903744).

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

132447168 is a wasteful number, since it uses less digits than its factorization.

132447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 132447168 is about 11508.5693289826. The cubic root of 132447168 is about 509.7386434804.

The spelling of 132447168 in words is "one hundred thirty-two million, four hundred forty-seven thousand, one hundred sixty-eight".