312135440 has 20 divisors (see below), whose sum is σ = 725715084. Its totient is φ = 124854144.

The previous prime is 312135389. The next prime is 312135443. The reversal of 312135440 is 44531213.

It can be written as a sum of positive squares in 2 ways, for example, as 171191056 + 140944384 = 13084^2 + 11872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (312135443) 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, 1950767 + ... + 1950926.

Almost surely, 2^312135440 is an apocalyptic number.

It is an amenable number.

312135440 is an abundant number, since it is smaller than the sum of its proper divisors (413579644).

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

312135440 is a wasteful number, since it uses less digits than its factorization.

312135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901706 (or 3901700 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 312135440 is about 17667.3552067082. The cubic root of 312135440 is about 678.3404166438.

Adding to 312135440 its reverse (44531213), we get a palindrome (356666653).

The spelling of 312135440 in words is "three hundred twelve million, one hundred thirty-five thousand, four hundred forty".