137006 has 8 divisors (see below), whose sum is σ = 209064. Its totient is φ = 67320.

The previous prime is 136999. The next prime is 137029. The reversal of 137006 is 600731.

137006 = 14² + 15² + ... + 74².

137006 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 congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137006.

It is an unprimeable number.

137006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (26133).

2¹³⁷⁰⁰⁶ is an apocalyptic number.

137006 is a deficient number, since it is larger than the sum of its proper divisors (72058).

137006 is a wasteful number, since it uses less digits than its factorization.

137006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 137006 is about 370.1432155261. The cubic root of 137006 is about 51.5521199185.

Adding to 137006 its reverse (600731), we get a palindrome (737737).

The spelling of 137006 in words is "one hundred thirty-seven thousand, six".