315942144 has 144 divisors (see below), whose sum is σ = 1017813888. Its totient is φ = 84934656.

The previous prime is 315942103. The next prime is 315942157. The reversal of 315942144 is 441249513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89664 + ... + 93120.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^315942144 is an apocalyptic number.

315942144 is a gapful number since it is divisible by the number (34) 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 315942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944).

315942144 is an abundant number, since it is smaller than the sum of its proper divisors (701871744).

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

315942144 is a wasteful number, since it uses less digits than its factorization.

315942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3486 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 315942144 is about 17774.7614329982. The cubic root of 315942144 is about 681.0868892779.

The spelling of 315942144 in words is "three hundred fifteen million, nine hundred forty-two thousand, one hundred forty-four".