315020144 has 40 divisors (see below), whose sum is σ = 643149312. Its totient is φ = 149181120.

The previous prime is 315020141. The next prime is 315020161. The reversal of 315020144 is 441020513.

It is a super-2 number, since 2×315020144² = 198475382251561472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315020141) 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, 33749 + ... + 42059.

Almost surely, 2^315020144 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 315020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321574656).

315020144 is an abundant number, since it is smaller than the sum of its proper divisors (328129168).

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

315020144 is a wasteful number, since it uses less digits than its factorization.

315020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 315020144 is about 17748.8068331367. The cubic root of 315020144 is about 680.4237151625.

Adding to 315020144 its reverse (441020513), we get a palindrome (756040657).

The spelling of 315020144 in words is "three hundred fifteen million, twenty thousand, one hundred forty-four".