137868 has 12 divisors (see below), whose sum is σ = 321720. Its totient is φ = 45952.

The previous prime is 137867. The next prime is 137869. The reversal of 137868 is 868731.

It is an interprime number because it is at equal distance from previous prime (137867) and next prime (137869).

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (137867) 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 3 ways as a sum of consecutive naturals, for example, 5733 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (26810).

2¹³⁷⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

137868 is an abundant number, since it is smaller than the sum of its proper divisors (183852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137868 is a wasteful number, since it uses less digits than its factorization.

137868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11494 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 137868 is about 371.3058038868. The cubic root of 137868 is about 51.6600107046.

The spelling of 137868 in words is "one hundred thirty-seven thousand, eight hundred sixty-eight".