138713 has 8 divisors (see below), whose sum is σ = 149568. Its totient is φ = 128304.

The previous prime is 138683. The next prime is 138727. The reversal of 138713 is 317831.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-138713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (18696).

2¹³⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

138713 is a deficient number, since it is larger than the sum of its proper divisors (10855).

138713 is a wasteful number, since it uses less digits than its factorization.

138713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its digits is 504, while the sum is 23.

The square root of 138713 is about 372.4419417842. The cubic root of 138713 is about 51.7653380908.

The spelling of 138713 in words is "one hundred thirty-eight thousand, seven hundred thirteen".