90152 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 44080.

The previous prime is 90149. The next prime is 90163. The reversal of 90152 is 25109.

It is a self number, because there is not a number n which added to its sum of digits gives 90152.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90152.

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 3 ways as a sum of consecutive naturals, for example, 377 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁹⁰¹⁵² is an apocalyptic number.

It is an amenable number.

90152 is a deficient number, since it is larger than the sum of its proper divisors (82648).

90152 is a wasteful number, since it uses less digits than its factorization.

90152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 90152 is about 300.2532264606. The cubic root of 90152 is about 44.8392619250.

It can be divided in two parts, 90 and 152, that added together give a palindrome (242).

The spelling of 90152 in words is "ninety thousand, one hundred fifty-two".