137027903 has 2 divisors, whose sum is σ = 137027904. Its totient is φ = 137027902.

The previous prime is 137027879. The next prime is 137027911. The reversal of 137027903 is 309720731.

137027903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (309720731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137027903 - 2⁸ = 137027647 is a prime.

It is a super-3 number, since 3×137027903³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137027903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137027953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68513951 + 68513952.

It is an arithmetic number, because the mean of its divisors is an integer number (68513952).

Almost surely, 2^137027903 is an apocalyptic number.

137027903 is a deficient number, since it is larger than the sum of its proper divisors (1).

137027903 is an equidigital number, since it uses as much as digits as its factorization.

137027903 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 137027903 is about 11705.8918071200. The cubic root of 137027903 is about 515.5486696585.

The spelling of 137027903 in words is "one hundred thirty-seven million, twenty-seven thousand, nine hundred three".