150312 has 16 divisors (see below), whose sum is σ = 375840. Its totient is φ = 50096.

The previous prime is 150301. The next prime is 150323. The reversal of 150312 is 213051.

It is an interprime number because it is at equal distance from previous prime (150301) and next prime (150323).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

150312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3108 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (23490).

2¹⁵⁰³¹² is an apocalyptic number.

150312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150312 is an abundant number, since it is smaller than the sum of its proper divisors (225528).

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

150312 is a wasteful number, since it uses less digits than its factorization.

150312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150312 is about 387.7009156554. The cubic root of 150312 is about 53.1697417774.

Adding to 150312 its reverse (213051), we get a palindrome (363363).

The spelling of 150312 in words is "one hundred fifty thousand, three hundred twelve".