138117 has 8 divisors (see below), whose sum is σ = 210496. Its totient is φ = 78912.

The previous prime is 138113. The next prime is 138139. The reversal of 138117 is 711831.

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

It is not a de Polignac number, because 138117 - 2² = 138113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6577 = 138117 / (1 + 3 + 8 + 1 + 1 + 7).

It is a Duffinian number.

138117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 138093 and 138102.

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 138117.

It is not an unprimeable number, because it can be changed into a prime (138113) 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, 3268 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (26312).

2¹³⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

138117 is a deficient number, since it is larger than the sum of its proper divisors (72379).

138117 is an equidigital number, since it uses as much as digits as its factorization.

138117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587.

The product of its digits is 168, while the sum is 21.

The square root of 138117 is about 371.6409557624. The cubic root of 138117 is about 51.6910926244.

Adding to 138117 its reverse (711831), we get a palindrome (849948).

The spelling of 138117 in words is "one hundred thirty-eight thousand, one hundred seventeen".