137509207 has 8 divisors (see below), whose sum is σ = 151005312. Its totient is φ = 124179000.

The previous prime is 137509201. The next prime is 137509241. The reversal of 137509207 is 702905731.

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

It is not a de Polignac number, because 137509207 - 2¹¹ = 137507159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137509201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39733 + ... + 43054.

It is an arithmetic number, because the mean of its divisors is an integer number (18875664).

Almost surely, 2^137509207 is an apocalyptic number.

137509207 is a deficient number, since it is larger than the sum of its proper divisors (13496105).

137509207 is a wasteful number, since it uses less digits than its factorization.

137509207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82949.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 137509207 is about 11726.4319807860. The cubic root of 137509207 is about 516.1515777171.

The spelling of 137509207 in words is "one hundred thirty-seven million, five hundred nine thousand, two hundred seven".