137588107 has 2 divisors, whose sum is σ = 137588108. Its totient is φ = 137588106.

The previous prime is 137588081. The next prime is 137588119. The reversal of 137588107 is 701885731.

It is a happy number.

137588107 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 a cyclic number.

It is not a de Polignac number, because 137588107 - 2¹⁹ = 137063819 is a prime.

It is a Chen prime.

It is equal to p_7783654 and since 137588107 and 7783654 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137588107.

It is not a weakly prime, because it can be changed into another prime (137588167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68794053 + 68794054.

It is an arithmetic number, because the mean of its divisors is an integer number (68794054).

Almost surely, 2^137588107 is an apocalyptic number.

137588107 is a deficient number, since it is larger than the sum of its proper divisors (1).

137588107 is an equidigital number, since it uses as much as digits as its factorization.

137588107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 40.

The square root of 137588107 is about 11729.7956930204. The cubic root of 137588107 is about 516.2502779519.

The spelling of 137588107 in words is "one hundred thirty-seven million, five hundred eighty-eight thousand, one hundred seven".