90150 has 24 divisors (see below), whose sum is σ = 223944. Its totient is φ = 24000.

The previous prime is 90149. The next prime is 90163. The reversal of 90150 is 5109.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (9331).

2⁹⁰¹⁵⁰ is an apocalyptic number.

90150 is an abundant number, since it is smaller than the sum of its proper divisors (133794).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111972).

90150 is a wasteful number, since it uses less digits than its factorization.

90150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 90150 is about 300.2498959200. The cubic root of 90150 is about 44.8389303399.

Adding to 90150 its reverse (5109), we get a palindrome (95259).

The spelling of 90150 in words is "ninety thousand, one hundred fifty".