90153 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 50544.

The previous prime is 90149. The next prime is 90163. The reversal of 90153 is 35109.

It is not a de Polignac number, because 90153 - 2² = 90149 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90153.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁹⁰¹⁵³ is an apocalyptic number.

It is an amenable number.

90153 is a deficient number, since it is larger than the sum of its proper divisors (67095).

90153 is an equidigital number, since it uses as much as digits as its factorization.

90153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

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

The square root of 90153 is about 300.2548917170. The cubic root of 90153 is about 44.8394277158.

It can be divided in two parts, 90 and 153, that added together give a 5-th power (243 = 3⁵).

The spelling of 90153 in words is "ninety thousand, one hundred fifty-three".