312132144 has 20 divisors (see below), whose sum is σ = 806341496. Its totient is φ = 104044032.

The previous prime is 312132143. The next prime is 312132151. The reversal of 312132144 is 441231213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312132144.

It is not an unprimeable number, because it can be changed into a prime (312132143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3251329 + ... + 3251424.

Almost surely, 2^312132144 is an apocalyptic number.

It is an amenable number.

312132144 is an abundant number, since it is smaller than the sum of its proper divisors (494209352).

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

312132144 is a wasteful number, since it uses less digits than its factorization.

312132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502764 (or 6502758 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 312132144 is about 17667.2619270786. The cubic root of 312132144 is about 678.3380289860.

Adding to 312132144 its reverse (441231213), we get a palindrome (753363357).

The spelling of 312132144 in words is "three hundred twelve million, one hundred thirty-two thousand, one hundred forty-four".