313138672 has 80 divisors (see below), whose sum is σ = 759451392. Its totient is φ = 121512960.

The previous prime is 313138667. The next prime is 313138673. The reversal of 313138672 is 276831313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313138673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533163 + ... + 533749.

Almost surely, 2^313138672 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 313138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379725696).

313138672 is an abundant number, since it is smaller than the sum of its proper divisors (446312720).

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

313138672 is a wasteful number, since it uses less digits than its factorization.

313138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 313138672 is about 17695.7246814026. The cubic root of 313138672 is about 679.0663889051.

Adding to 313138672 its reverse (276831313), we get a palindrome (589969985).

The spelling of 313138672 in words is "three hundred thirteen million, one hundred thirty-eight thousand, six hundred seventy-two".