152310312 has 192 divisors, whose sum is σ = 522063360. Its totient is φ = 38966400.

The previous prime is 152310307. The next prime is 152310359. The reversal of 152310312 is 213013251.

It is a super-2 number, since 2×152310312² = 46396862283074688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459987 + ... + 460317.

It is an arithmetic number, because the mean of its divisors is an integer number (2719080).

Almost surely, 2^152310312 is an apocalyptic number.

152310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261031680).

152310312 is an abundant number, since it is smaller than the sum of its proper divisors (369753048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152310312 is a wasteful number, since it uses less digits than its factorization.

152310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 152310312 is about 12341.4064028376. The cubic root of 152310312 is about 534.0432570269.

Adding to 152310312 its reverse (213013251), we get a palindrome (365323563).

The spelling of 152310312 in words is "one hundred fifty-two million, three hundred ten thousand, three hundred twelve".