137038 has 8 divisors (see below), whose sum is σ = 224280. Its totient is φ = 62280.

The previous prime is 137029. The next prime is 137077. The reversal of 137038 is 830731.

137038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 6229 = 137038 / (1 + 3 + 7 + 0 + 3 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3093 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (28035).

2¹³⁷⁰³⁸ is an apocalyptic number.

137038 is a deficient number, since it is larger than the sum of its proper divisors (87242).

137038 is a wasteful number, since it uses less digits than its factorization.

137038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 137038 is about 370.1864395139. The cubic root of 137038 is about 51.5561332206.

Adding to 137038 its reverse (830731), we get a palindrome (967769).

The spelling of 137038 in words is "one hundred thirty-seven thousand, thirty-eight".