137804 has 12 divisors (see below), whose sum is σ = 246624. Its totient is φ = 67344.

The previous prime is 137803. The next prime is 137827. The reversal of 137804 is 408731.

Added to its reverse (408731) it gives a triangular number (546535 = T₁₀₄₅).

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 137804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137803) 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, 179 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (20552).

2¹³⁷⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

137804 is a deficient number, since it is larger than the sum of its proper divisors (108820).

137804 is a wasteful number, since it uses less digits than its factorization.

137804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 137804 is about 371.2196115509. The cubic root of 137804 is about 51.6520157326.

Adding to 137804 its reverse (408731), we get a triangular number (546535 = T₁₀₄₅).

The spelling of 137804 in words is "one hundred thirty-seven thousand, eight hundred four".