152385 has 8 divisors (see below), whose sum is σ = 243840. Its totient is φ = 81264.

The previous prime is 152381. The next prime is 152389. The reversal of 152385 is 583251.

It is an interprime number because it is at equal distance from previous prime (152381) and next prime (152389).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 152385 - 2² = 152381 is a prime.

It is a Smith number, since the sum of its digits (24) 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.

152385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (152381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5065 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2¹⁵²³⁸⁵ is an apocalyptic number.

152385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152385 is a deficient number, since it is larger than the sum of its proper divisors (91455).

152385 is a wasteful number, since it uses less digits than its factorization.

152385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167.

The product of its digits is 1200, while the sum is 24.

The square root of 152385 is about 390.3652136141. The cubic root of 152385 is about 53.4130535216.

The spelling of 152385 in words is "one hundred fifty-two thousand, three hundred eighty-five".