168132 has 12 divisors (see below), whose sum is σ = 392336. Its totient is φ = 56040.

The previous prime is 168127. The next prime is 168143. The reversal of 168132 is 231861.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 168099 and 168108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 168132.

It is an unprimeable number.

168132 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, 6994 + ... + 7017.

2¹⁶⁸¹³² is an apocalyptic number.

168132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168132 is an abundant number, since it is smaller than the sum of its proper divisors (224204).

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

168132 is a wasteful number, since it uses less digits than its factorization.

168132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14016 counting only the distinct ones).

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

The square root of 168132 is about 410.0390225332. The cubic root of 168132 is about 55.1929312519.

Adding to 168132 its reverse (231861), we get a palindrome (399993).

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

The spelling of 168132 in words is "one hundred sixty-eight thousand, one hundred thirty-two".