137083589 has 2 divisors, whose sum is σ = 137083590. Its totient is φ = 137083588.

The previous prime is 137083579. The next prime is 137083633. The reversal of 137083589 is 985380731.

It is a happy number.

137083589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (137083633) can be obtained adding 137083589 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114597025 + 22486564 = 10705^2 + 4742^2 .

It is a cyclic number.

It is not a de Polignac number, because 137083589 - 2²⁰ = 136035013 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137083549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68541794 + 68541795.

It is an arithmetic number, because the mean of its divisors is an integer number (68541795).

Almost surely, 2^137083589 is an apocalyptic number.

It is an amenable number.

137083589 is a deficient number, since it is larger than the sum of its proper divisors (1).

137083589 is an equidigital number, since it uses as much as digits as its factorization.

137083589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 137083589 is about 11708.2701113358. The cubic root of 137083589 is about 515.6184971766.

The spelling of 137083589 in words is "one hundred thirty-seven million, eighty-three thousand, five hundred eighty-nine".