138048313 has 16 divisors (see below), whose sum is σ = 159425280. Its totient is φ = 118400256.

The previous prime is 138048293. The next prime is 138048331. The reversal of 138048313 is 313840831.

138048313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-138048313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138048013) 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, 13506 + ... + 21412.

It is an arithmetic number, because the mean of its divisors is an integer number (9964080).

Almost surely, 2^138048313 is an apocalyptic number.

138048313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138048313 is a deficient number, since it is larger than the sum of its proper divisors (21376967).

138048313 is a wasteful number, since it uses less digits than its factorization.

138048313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 138048313 is about 11749.3962823628. The cubic root of 138048313 is about 516.8252236684.

The spelling of 138048313 in words is "one hundred thirty-eight million, forty-eight thousand, three hundred thirteen".