319507136 has 112 divisors (see below), whose sum is σ = 715097376. Its totient is φ = 140673024.

The previous prime is 319507127. The next prime is 319507147. The reversal of 319507136 is 631705913.

It is a junction number, because it is equal to n+sod(n) for n = 319507096 and 319507105.

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, 2985995 + ... + 2986101.

It is an arithmetic number, because the mean of its divisors is an integer number (6384798).

Almost surely, 2^319507136 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 319507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357548688).

319507136 is an abundant number, since it is smaller than the sum of its proper divisors (395590240).

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

319507136 is a wasteful number, since it uses less digits than its factorization.

319507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 319507136 is about 17874.7625438773. The cubic root of 319507136 is about 683.6390375700.

The spelling of 319507136 in words is "three hundred nineteen million, five hundred seven thousand, one hundred thirty-six".