138736 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 59136.

The previous prime is 138731. The next prime is 138739. The reversal of 138736 is 637831.

138736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138731) 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, 4770 + ... + 4798.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹³⁸⁷³⁶ is an apocalyptic number.

138736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

138736 is an abundant number, since it is smaller than the sum of its proper divisors (173744).

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

138736 is a wasteful number, since it uses less digits than its factorization.

138736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 138736 is about 372.4728178002. The cubic root of 138736 is about 51.7681990026.

It can be divided in two parts, 13873 and 6, that multiplied together give a palindrome (83238).

The spelling of 138736 in words is "one hundred thirty-eight thousand, seven hundred thirty-six".