137864 has 16 divisors (see below), whose sum is σ = 272400. Its totient is φ = 65232.

The previous prime is 137849. The next prime is 137867. The reversal of 137864 is 468731.

It is not an unprimeable number, because it can be changed into a prime (137867) by changing a digit.

137864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (17025).

2¹³⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

137864 is a deficient number, since it is larger than the sum of its proper divisors (134536).

137864 is a wasteful number, since it uses less digits than its factorization.

137864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 137864 is about 371.3004174520. The cubic root of 137864 is about 51.6595110914.

It can be divided in two parts, 137 and 864, that added together give a palindrome (1001).

The spelling of 137864 in words is "one hundred thirty-seven thousand, eight hundred sixty-four".