138726 has 32 divisors (see below), whose sum is σ = 353280. Its totient is φ = 39528.

The previous prime is 138683. The next prime is 138727. The reversal of 138726 is 627831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 138726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138727) by changing a digit.

138726 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (11040).

2¹³⁸⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176640).

138726 is an abundant number, since it is smaller than the sum of its proper divisors (214554).

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

138726 is a wasteful number, since it uses less digits than its factorization.

138726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 138726 is about 372.4593937599. The cubic root of 138726 is about 51.7669551668.

The spelling of 138726 in words is "one hundred thirty-eight thousand, seven hundred twenty-six".