138713268 has 96 divisors (see below), whose sum is σ = 355477248. Its totient is φ = 41932800.

The previous prime is 138713261. The next prime is 138713269. The reversal of 138713268 is 862317831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138713261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883446 + ... + 883602.

It is an arithmetic number, because the mean of its divisors is an integer number (3702888).

Almost surely, 2^138713268 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 138713268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177738624).

138713268 is an abundant number, since it is smaller than the sum of its proper divisors (216763980).

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

138713268 is a wasteful number, since it uses less digits than its factorization.

138713268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 138713268 is about 11777.6596996177. The cubic root of 138713268 is about 517.6537142851.

The spelling of 138713268 in words is "one hundred thirty-eight million, seven hundred thirteen thousand, two hundred sixty-eight".