137005037 has 4 divisors (see below), whose sum is σ = 147543900. Its totient is φ = 126466176.

The previous prime is 137005007. The next prime is 137005081. The reversal of 137005037 is 730500731.

137005037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82555396 + 54449641 = 9086^2 + 7379^2 .

It is a cyclic number.

It is not a de Polignac number, because 137005037 - 2⁸ = 137004781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137004997 and 137005015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137005007) 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, 5269412 + ... + 5269437.

It is an arithmetic number, because the mean of its divisors is an integer number (36885975).

Almost surely, 2^137005037 is an apocalyptic number.

It is an amenable number.

137005037 is a deficient number, since it is larger than the sum of its proper divisors (10538863).

137005037 is a wasteful number, since it uses less digits than its factorization.

137005037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538862.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 137005037 is about 11704.9150787180. The cubic root of 137005037 is about 515.5199913348.

Adding to 137005037 its reverse (730500731), we get a palindrome (867505768).

The spelling of 137005037 in words is "one hundred thirty-seven million, five thousand, thirty-seven".