137585389 has 2 divisors, whose sum is σ = 137585390. Its totient is φ = 137585388.

The previous prime is 137585387. The next prime is 137585407. The reversal of 137585389 is 983585731.

137585389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125216100 + 12369289 = 11190^2 + 3517^2 .

It is a cyclic number.

It is not a de Polignac number, because 137585389 - 2¹ = 137585387 is a prime.

Together with 137585387, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137585387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68792694 + 68792695.

It is an arithmetic number, because the mean of its divisors is an integer number (68792695).

Almost surely, 2^137585389 is an apocalyptic number.

It is an amenable number.

137585389 is a deficient number, since it is larger than the sum of its proper divisors (1).

137585389 is an equidigital number, since it uses as much as digits as its factorization.

137585389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 907200, while the sum is 49.

The square root of 137585389 is about 11729.6798336527. The cubic root of 137585389 is about 516.2468784878.

The spelling of 137585389 in words is "one hundred thirty-seven million, five hundred eighty-five thousand, three hundred eighty-nine".