315134040 has 128 divisors (see below), whose sum is σ = 1062512640. Its totient is φ = 74190336.

The previous prime is 315134033. The next prime is 315134051. The reversal of 315134040 is 40431513.

It is a junction number, because it is equal to n+sod(n) for n = 315133998 and 315134016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31489 + ... + 40271.

It is an arithmetic number, because the mean of its divisors is an integer number (8300880).

Almost surely, 2^315134040 is an apocalyptic number.

315134040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

315134040 is an abundant number, since it is smaller than the sum of its proper divisors (747378600).

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

315134040 is a wasteful number, since it uses less digits than its factorization.

315134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 315134040 is about 17752.0150968841. The cubic root of 315134040 is about 680.5057080160.

Adding to 315134040 its reverse (40431513), we get a palindrome (355565553).

It can be divided in two parts, 31513 and 4040, that added together give a palindrome (35553).

The spelling of 315134040 in words is "three hundred fifteen million, one hundred thirty-four thousand, forty".