90132 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 24192.

The previous prime is 90127. The next prime is 90149. The reversal of 90132 is 23109.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁹⁰¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

90132 is an abundant number, since it is smaller than the sum of its proper divisors (165228).

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

90132 is a wasteful number, since it uses less digits than its factorization.

90132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 90132 is about 300.2199193924. The cubic root of 90132 is about 44.8359458531.

It can be divided in two parts, 90 and 132, that added together give a palindrome (222).

The spelling of 90132 in words is "ninety thousand, one hundred thirty-two".