138171 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 81120.

The previous prime is 138163. The next prime is 138179. The reversal of 138171 is 171831.

It is an interprime number because it is at equal distance from previous prime (138163) and next prime (138179).

It is not a de Polignac number, because 138171 - 2³ = 138163 is a prime.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (138179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹³⁸¹⁷¹ is an apocalyptic number.

138171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138171 is a deficient number, since it is larger than the sum of its proper divisors (69189).

138171 is a wasteful number, since it uses less digits than its factorization.

138171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

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

The square root of 138171 is about 371.7135994284. The cubic root of 138171 is about 51.6978283517.

The spelling of 138171 in words is "one hundred thirty-eight thousand, one hundred seventy-one".