132168 has 16 divisors (see below), whose sum is σ = 330480. Its totient is φ = 44048.

The previous prime is 132157. The next prime is 132169. The reversal of 132168 is 861231.

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

It is not an unprimeable number, because it can be changed into a prime (132169) by changing a digit.

132168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2730 + ... + 2777.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2¹³²¹⁶⁸ is an apocalyptic number.

It is an amenable number.

132168 is an abundant number, since it is smaller than the sum of its proper divisors (198312).

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

132168 is a wasteful number, since it uses less digits than its factorization.

132168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5512 counting only the distinct ones).

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

The square root of 132168 is about 363.5491713648. The cubic root of 132168 is about 50.9380254503.

Adding to 132168 its reverse (861231), we get a palindrome (993399).

It can be divided in two parts, 132 and 168, that added together give a triangular number (300 = T₂₄).

The spelling of 132168 in words is "one hundred thirty-two thousand, one hundred sixty-eight".