312137152 has 28 divisors (see below), whose sum is σ = 632581920. Its totient is φ = 152746496.

The previous prime is 312137131. The next prime is 312137159. The reversal of 312137152 is 251731213.

It is a happy number.

It is a super-2 number, since 2×312137152² = 194859203317342208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312137159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48877 + ... + 54892.

Almost surely, 2^312137152 is an apocalyptic number.

312137152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312137152 is an abundant number, since it is smaller than the sum of its proper divisors (320444768).

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

312137152 is a wasteful number, since it uses less digits than its factorization.

312137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103828 (or 103818 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 312137152 is about 17667.4036575836. The cubic root of 312137152 is about 678.3416568284.

Adding to 312137152 its reverse (251731213), we get a palindrome (563868365).

The spelling of 312137152 in words is "three hundred twelve million, one hundred thirty-seven thousand, one hundred fifty-two".