137958389 has 2 divisors, whose sum is σ = 137958390. Its totient is φ = 137958388.

The previous prime is 137958361. The next prime is 137958391. The reversal of 137958389 is 983859731.

It is a happy number.

137958389 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., 126000625 + 11957764 = 11225^2 + 3458^2 .

It is an emirp because it is prime and its reverse (983859731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137958389 - 2²⁰ = 136909813 is a prime.

It is a Sophie Germain prime.

Together with 137958391, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137958389.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137958329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68979194 + 68979195.

It is an arithmetic number, because the mean of its divisors is an integer number (68979195).

Almost surely, 2^137958389 is an apocalyptic number.

It is an amenable number.

137958389 is a deficient number, since it is larger than the sum of its proper divisors (1).

137958389 is an equidigital number, since it uses as much as digits as its factorization.

137958389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1632960, while the sum is 53.

The square root of 137958389 is about 11745.5689091674. The cubic root of 137958389 is about 516.7129801471.

The spelling of 137958389 in words is "one hundred thirty-seven million, nine hundred fifty-eight thousand, three hundred eighty-nine".