312135540 has 24 divisors (see below), whose sum is σ = 873979680. Its totient is φ = 83236128.

The previous prime is 312135539. The next prime is 312135541. The reversal of 312135540 is 45531213.

It is an interprime number because it is at equal distance from previous prime (312135539) and next prime (312135541).

It is a self number, because there is not a number n which added to its sum of digits gives 312135540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312135541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601070 + ... + 2601189.

It is an arithmetic number, because the mean of its divisors is an integer number (36415820).

Almost surely, 2^312135540 is an apocalyptic number.

312135540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312135540 is an abundant number, since it is smaller than the sum of its proper divisors (561844140).

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

312135540 is a wasteful number, since it uses less digits than its factorization.

312135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202271 (or 5202269 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 312135540 is about 17667.3580367864. The cubic root of 312135540 is about 678.3404890847.

Adding to 312135540 its reverse (45531213), we get a palindrome (357666753).

The spelling of 312135540 in words is "three hundred twelve million, one hundred thirty-five thousand, five hundred forty".