312135129 has 12 divisors (see below), whose sum is σ = 452204116. Its totient is φ = 207470592.

The previous prime is 312135121. The next prime is 312135143. The reversal of 312135129 is 921531213.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 260984025 = 7152^2 + 16155^2 .

It is not a de Polignac number, because 312135129 - 2³ = 312135121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312135121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48424 + ... + 54489.

Almost surely, 2^312135129 is an apocalyptic number.

It is an amenable number.

312135129 is a deficient number, since it is larger than the sum of its proper divisors (140068987).

312135129 is a wasteful number, since it uses less digits than its factorization.

312135129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103256 (or 103253 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 312135129 is about 17667.3464051623. The cubic root of 312135129 is about 678.3401913528.

The spelling of 312135129 in words is "three hundred twelve million, one hundred thirty-five thousand, one hundred twenty-nine".