138501 has 12 divisors (see below), whose sum is σ = 218400. Its totient is φ = 83880.

The previous prime is 138497. The next prime is 138511. The reversal of 138501 is 105831.

It is a happy number.

It is not a de Polignac number, because 138501 - 2² = 138497 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2¹³⁸⁵⁰¹ is an apocalyptic number.

138501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138501 is a deficient number, since it is larger than the sum of its proper divisors (79899).

138501 is a wasteful number, since it uses less digits than its factorization.

138501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1413 counting only the distinct ones).

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

The square root of 138501 is about 372.1572248392. The cubic root of 138501 is about 51.7389530435.

The spelling of 138501 in words is "one hundred thirty-eight thousand, five hundred one".