152985 has 32 divisors (see below), whose sum is σ = 294912. Its totient is φ = 66240.

The previous prime is 152981. The next prime is 152989. The reversal of 152985 is 589251.

152985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152981) and next prime (152989).

It is not a de Polignac number, because 152985 - 2² = 152981 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

152985 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (152981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3232 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (9216).

2¹⁵²⁹⁸⁵ is an apocalyptic number.

152985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152985 is a deficient number, since it is larger than the sum of its proper divisors (141927).

152985 is a wasteful number, since it uses less digits than its factorization.

152985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its digits is 3600, while the sum is 30.

The square root of 152985 is about 391.1329697175. The cubic root of 152985 is about 53.4830644856.

The spelling of 152985 in words is "one hundred fifty-two thousand, nine hundred eighty-five".