152307 has 8 divisors (see below), whose sum is σ = 225680. Its totient is φ = 101520.

The previous prime is 152297. The next prime is 152311. The reversal of 152307 is 703251.

152307 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 152307 - 2¹⁶ = 86771 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152307.

It is not an unprimeable number, because it can be changed into a prime (152377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2794 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2¹⁵²³⁰⁷ is an apocalyptic number.

152307 is a deficient number, since it is larger than the sum of its proper divisors (73373).

152307 is an equidigital number, since it uses as much as digits as its factorization.

152307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 152307 is about 390.2652943832. The cubic root of 152307 is about 53.4039386061.

Adding to 152307 its reverse (703251), we get a palindrome (855558).

It can be divided in two parts, 152 and 307, that multiplied together give a palindrome (46664).

The spelling of 152307 in words is "one hundred fifty-two thousand, three hundred seven".