312547152 has 80 divisors (see below), whose sum is σ = 843071040. Its totient is φ = 99649536.

The previous prime is 312547129. The next prime is 312547171. The reversal of 312547152 is 251745213.

It is a super-2 number, since 2×312547152² = 195371444446622208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156303 + ... + 158289.

It is an arithmetic number, because the mean of its divisors is an integer number (10538388).

Almost surely, 2^312547152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312547152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421535520).

312547152 is an abundant number, since it is smaller than the sum of its proper divisors (530523888).

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

312547152 is a wasteful number, since it uses less digits than its factorization.

312547152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 312547152 is about 17679.0031393176. The cubic root of 312547152 is about 678.6385331574.

The spelling of 312547152 in words is "three hundred twelve million, five hundred forty-seven thousand, one hundred fifty-two".