390132 has 18 divisors (see below), whose sum is σ = 986258. Its totient is φ = 130032.

The previous prime is 390119. The next prime is 390151. The reversal of 390132 is 231093.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 104976 = 534^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

390132 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5383 + ... + 5454.

2³⁹⁰¹³² is an apocalyptic number.

It is an amenable number.

390132 is an abundant number, since it is smaller than the sum of its proper divisors (596126).

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

390132 is a wasteful number, since it uses less digits than its factorization.

390132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 390132 is about 624.6054754803. The cubic root of 390132 is about 73.0696776395.

The spelling of 390132 in words is "three hundred ninety thousand, one hundred thirty-two".