138015 has 12 divisors (see below), whose sum is σ = 239304. Its totient is φ = 73584.

The previous prime is 138007. The next prime is 138041. The reversal of 138015 is 510831.

It is a happy number.

It is not a de Polignac number, because 138015 - 2³ = 138007 is a prime.

138015 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489 + ... + 1578.

It is an arithmetic number, because the mean of its divisors is an integer number (19942).

2¹³⁸⁰¹⁵ is an apocalyptic number.

138015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138015 is a deficient number, since it is larger than the sum of its proper divisors (101289).

138015 is a wasteful number, since it uses less digits than its factorization.

138015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 138015 is about 371.5037011929. The cubic root of 138015 is about 51.6783647925.

Adding to 138015 its reverse (510831), we get a palindrome (648846).

Subtracting 138015 from its reverse (510831), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 138015 in words is "one hundred thirty-eight thousand, fifteen".