138747 has 8 divisors (see below), whose sum is σ = 211456. Its totient is φ = 79272.

The previous prime is 138739. The next prime is 138763. The reversal of 138747 is 747831.

It is a happy number.

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

It is not a de Polignac number, because 138747 - 2³ = 138739 is a prime.

138747 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138747.

It is not an unprimeable number, because it can be changed into a prime (138727) 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, 3283 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (26432).

2¹³⁸⁷⁴⁷ is an apocalyptic number.

138747 is a deficient number, since it is larger than the sum of its proper divisors (72709).

138747 is an equidigital number, since it uses as much as digits as its factorization.

138747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617.

The product of its digits is 4704, while the sum is 30.

The square root of 138747 is about 372.4875836857. The cubic root of 138747 is about 51.7695671530.

The spelling of 138747 in words is "one hundred thirty-eight thousand, seven hundred forty-seven".