137083109 has 2 divisors, whose sum is σ = 137083110. Its totient is φ = 137083108.

The previous prime is 137083061. The next prime is 137083127. The reversal of 137083109 is 901380731.

137083109 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 can be written as a sum of positive squares in only one way, i.e., 131217025 + 5866084 = 11455^2 + 2422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137083109 is a prime.

It is a congruent number.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68541554 + 68541555.

It is an arithmetic number, because the mean of its divisors is an integer number (68541555).

Almost surely, 2^137083109 is an apocalyptic number.

It is an amenable number.

137083109 is a deficient number, since it is larger than the sum of its proper divisors (1).

137083109 is an equidigital number, since it uses as much as digits as its factorization.

137083109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 137083109 is about 11708.2496129866. The cubic root of 137083109 is about 515.6178953609.

The spelling of 137083109 in words is "one hundred thirty-seven million, eighty-three thousand, one hundred nine".