138759 has 8 divisors (see below), whose sum is σ = 193152. Its totient is φ = 88440.

The previous prime is 138739. The next prime is 138763. The reversal of 138759 is 957831.

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

It is not a de Polignac number, because 138759 - 2⁵ = 138727 is a prime.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 7³ + 8³ + 5⁷ + 9³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138739) 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, 937 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (24144).

2¹³⁸⁷⁵⁹ is an apocalyptic number.

138759 is a deficient number, since it is larger than the sum of its proper divisors (54393).

138759 is a wasteful number, since it uses less digits than its factorization.

138759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037.

The product of its digits is 7560, while the sum is 33.

The square root of 138759 is about 372.5036912569. The cubic root of 138759 is about 51.7710595983.

The spelling of 138759 in words is "one hundred thirty-eight thousand, seven hundred fifty-nine".