152306 has 32 divisors (see below), whose sum is σ = 304128. Its totient is φ = 55440.

The previous prime is 152297. The next prime is 152311. The reversal of 152306 is 603251.

152306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3521 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (9504).

2¹⁵²³⁰⁶ is an apocalyptic number.

152306 is a deficient number, since it is larger than the sum of its proper divisors (151822).

152306 is a wasteful number, since it uses less digits than its factorization.

152306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 152306 is about 390.2640132013. The cubic root of 152306 is about 53.4038217280.

Adding to 152306 its reverse (603251), we get a palindrome (755557).

The spelling of 152306 in words is "one hundred fifty-two thousand, three hundred six".