90135 has 12 divisors (see below), whose sum is σ = 156312. Its totient is φ = 48048.

The previous prime is 90127. The next prime is 90149. The reversal of 90135 is 53109.

It is not a de Polignac number, because 90135 - 2³ = 90127 is a prime.

90135 is a modest number, since divided by 135 gives 90 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (13026).

2⁹⁰¹³⁵ is an apocalyptic number.

90135 is a deficient number, since it is larger than the sum of its proper divisors (66177).

90135 is a wasteful number, since it uses less digits than its factorization.

90135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90135 is about 300.2249156882. The cubic root of 90135 is about 44.8364432951.

Subtracting from 90135 its product of nonzero digits (135), we obtain a square (90000 = 300²).

It can be divided in two parts, 90 and 135, that added together give a square (225 = 15²).

The spelling of 90135 in words is "ninety thousand, one hundred thirty-five".