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137864789 is a prime number
BaseRepresentation
bin10000011011110…
…10011001010101
3100121102020221022
420031322121111
5240243133124
621402530525
73262555106
oct1015723125
9317366838
10137864789
1170903947
123a206a45
13227404ca
141444a3ad
15c183c5e
hex837a655

137864789 has 2 divisors, whose sum is σ = 137864790. Its totient is φ = 137864788.

The previous prime is 137864759. The next prime is 137864801. The reversal of 137864789 is 987468731.

137864789 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., 126742564 + 11122225 = 11258^2 + 3335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137864789 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137864789.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137864759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68932394 + 68932395.

It is an arithmetic number, because the mean of its divisors is an integer number (68932395).

Almost surely, 2137864789 is an apocalyptic number.

It is an amenable number.

137864789 is a deficient number, since it is larger than the sum of its proper divisors (1).

137864789 is an equidigital number, since it uses as much as digits as its factorization.

137864789 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2032128, while the sum is 53.

The square root of 137864789 is about 11741.5837517773. The cubic root of 137864789 is about 516.5960964084.

The spelling of 137864789 in words is "one hundred thirty-seven million, eight hundred sixty-four thousand, seven hundred eighty-nine".