137836 has 12 divisors (see below), whose sum is σ = 255528. Its totient is φ = 64832.

The previous prime is 137831. The next prime is 137849. The reversal of 137836 is 638731.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

137836 is a Friedman number, since it can be written as 7*(8+3^(6+3))-1, using all its digits and the basic arithmetic operations.

2¹³⁷⁸³⁶ is an apocalyptic number.

It is an amenable number.

137836 is a deficient number, since it is larger than the sum of its proper divisors (117692).

137836 is a wasteful number, since it uses less digits than its factorization.

137836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2046 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 137836 is about 371.2627102201. The cubic root of 137836 is about 51.6560135279.

The spelling of 137836 in words is "one hundred thirty-seven thousand, eight hundred thirty-six".