137507 has 2 divisors, whose sum is σ = 137508. Its totient is φ = 137506.

The previous prime is 137491. The next prime is 137519. The reversal of 137507 is 705731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137507 - 2⁴ = 137491 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 5³ + 7² + 0 + 7⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137507.

It is not a weakly prime, because it can be changed into another prime (137537) 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 as a sum of consecutive naturals, namely, 68753 + 68754.

It is an arithmetic number, because the mean of its divisors is an integer number (68754).

2¹³⁷⁵⁰⁷ is an apocalyptic number.

137507 is a deficient number, since it is larger than the sum of its proper divisors (1).

137507 is an equidigital number, since it uses as much as digits as its factorization.

137507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 137507 is about 370.8193630327. The cubic root of 137507 is about 51.6148816320.

The spelling of 137507 in words is "one hundred thirty-seven thousand, five hundred seven".