138065 has 8 divisors (see below), whose sum is σ = 169128. Its totient is φ = 108160.

The previous prime is 138059. The next prime is 138071. The reversal of 138065 is 560831.

Added to its reverse (560831) it gives a square (698896 = 836²).

It is an interprime number because it is at equal distance from previous prime (138059) and next prime (138071).

It can be written as a sum of positive squares in 4 ways, for example, as 14161 + 123904 = 119^2 + 352^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-138065 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 138065.

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 138065.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (21141).

2¹³⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

138065 is a deficient number, since it is larger than the sum of its proper divisors (31063).

138065 is an equidigital number, since it uses as much as digits as its factorization.

138065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 138065 is about 371.5709891797. The cubic root of 138065 is about 51.6846047091.

Adding to 138065 its reverse (560831), we get a palindrome (698896).

The spelling of 138065 in words is "one hundred thirty-eight thousand, sixty-five".