137812 has 12 divisors (see below), whose sum is σ = 243936. Its totient is φ = 68120.

The previous prime is 137803. The next prime is 137827. The reversal of 137812 is 218731.

It is a congruent number.

It is an unprimeable number.

137812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 393 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2¹³⁷⁸¹² is an apocalyptic number.

It is an amenable number.

137812 is a deficient number, since it is larger than the sum of its proper divisors (106124).

137812 is a wasteful number, since it uses less digits than its factorization.

137812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 137812 is about 371.2303866873. The cubic root of 137812 is about 51.6530152394.

It can be divided in two parts, 137 and 812, that added together give a palindrome (949).

The spelling of 137812 in words is "one hundred thirty-seven thousand, eight hundred twelve".