152305 has 8 divisors (see below), whose sum is σ = 185472. Its totient is φ = 120048.

The previous prime is 152297. The next prime is 152311. The reversal of 152305 is 503251.

152305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 152305 - 2³ = 152297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 598.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2¹⁵²³⁰⁵ is an apocalyptic number.

It is an amenable number.

152305 is a deficient number, since it is larger than the sum of its proper divisors (33167).

152305 is an equidigital number, since it uses as much as digits as its factorization.

152305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 152305 is about 390.2627320152. The cubic root of 152305 is about 53.4037048494.

Adding to 152305 its reverse (503251), we get a palindrome (655556).

It can be divided in two parts, 152 and 305, that multiplied together give a triangular number (46360 = T₃₀₄).

The spelling of 152305 in words is "one hundred fifty-two thousand, three hundred five".