360132 has 12 divisors (see below), whose sum is σ = 840336. Its totient is φ = 120040.

The previous prime is 360091. The next prime is 360163. The reversal of 360132 is 231063.

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

360132 is a modest number, since divided by 132 gives 36 as remainder.

It is a zygodrome in base 11.

It is an unprimeable number.

360132 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 3 ways as a sum of consecutive naturals, for example, 14994 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (70028).

2³⁶⁰¹³² is an apocalyptic number.

It is an amenable number.

360132 is an abundant number, since it is smaller than the sum of its proper divisors (480204).

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

360132 is a wasteful number, since it uses less digits than its factorization.

360132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30018 (or 30016 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 360132 is about 600.1099899185. The cubic root of 360132 is about 71.1465596554.

Adding to 360132 its reverse (231063), we get a palindrome (591195).

The spelling of 360132 in words is "three hundred sixty thousand, one hundred thirty-two".