180132 has 24 divisors (see below), whose sum is σ = 445536. Its totient is φ = 56448.

The previous prime is 180097. The next prime is 180137. The reversal of 180132 is 231081.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (180137) by changing a digit.

180132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2¹⁸⁰¹³² is an apocalyptic number.

180132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180132 is an abundant number, since it is smaller than the sum of its proper divisors (265404).

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

180132 is a wasteful number, since it uses less digits than its factorization.

180132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 180132 is about 424.4196036943. The cubic root of 180132 is about 56.4759602222.

The spelling of 180132 in words is "one hundred eighty thousand, one hundred thirty-two".