315142016 has 64 divisors (see below), whose sum is σ = 719940480. Its totient is φ = 134604288.

The previous prime is 315142013. The next prime is 315142019. The reversal of 315142016 is 610241513.

It is an interprime number because it is at equal distance from previous prime (315142013) and next prime (315142019).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 315141982 and 315142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315142013) 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, 489791 + ... + 490433.

It is an arithmetic number, because the mean of its divisors is an integer number (11249070).

Almost surely, 2^315142016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359970240).

315142016 is an abundant number, since it is smaller than the sum of its proper divisors (404798464).

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

315142016 is an equidigital number, since it uses as much as digits as its factorization.

315142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 315142016 is about 17752.2397460151. The cubic root of 315142016 is about 680.5114491368.

Adding to 315142016 its reverse (610241513), we get a palindrome (925383529).

The spelling of 315142016 in words is "three hundred fifteen million, one hundred forty-two thousand, sixteen".