315139776 has 336 divisors, whose sum is σ = 1070213760. Its totient is φ = 81285120.

The previous prime is 315139771. The next prime is 315139777. The reversal of 315139776 is 677931513.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (315139771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7328811 + ... + 7328853.

It is an arithmetic number, because the mean of its divisors is an integer number (3185160).

Almost surely, 2^315139776 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 315139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535106880).

315139776 is an abundant number, since it is smaller than the sum of its proper divisors (755073984).

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

315139776 is a wasteful number, since it uses less digits than its factorization.

315139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 315139776 is about 17752.1766552724. The cubic root of 315139776 is about 680.5098367957.

The spelling of 315139776 in words is "three hundred fifteen million, one hundred thirty-nine thousand, seven hundred seventy-six".