152314305 has 64 divisors (see below), whose sum is σ = 303222528. Its totient is φ = 64143360.

The previous prime is 152314289. The next prime is 152314307. The reversal of 152314305 is 503413251.

It is not a de Polignac number, because 152314305 - 2⁴ = 152314289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152314307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34377 + ... + 38553.

It is an arithmetic number, because the mean of its divisors is an integer number (4737852).

Almost surely, 2^152314305 is an apocalyptic number.

152314305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152314305 is a deficient number, since it is larger than the sum of its proper divisors (150908223).

152314305 is a wasteful number, since it uses less digits than its factorization.

152314305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152314305 is about 12341.5681742638. The cubic root of 152314305 is about 534.0479238506.

Adding to 152314305 its reverse (503413251), we get a palindrome (655727556).

The spelling of 152314305 in words is "one hundred fifty-two million, three hundred fourteen thousand, three hundred five".