137871 has 6 divisors (see below), whose sum is σ = 199160. Its totient is φ = 91908.

The previous prime is 137869. The next prime is 137873. The reversal of 137871 is 178731.

137871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137869) and next prime (137873).

It is not a de Polignac number, because 137871 - 2¹ = 137869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7651 + ... + 7668.

2¹³⁷⁸⁷¹ is an apocalyptic number.

137871 is a deficient number, since it is larger than the sum of its proper divisors (61289).

137871 is a wasteful number, since it uses less digits than its factorization.

137871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15325 (or 15322 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 137871 is about 371.3098436616. The cubic root of 137871 is about 51.6603854082.

The spelling of 137871 in words is "one hundred thirty-seven thousand, eight hundred seventy-one".