137067857 has 2 divisors, whose sum is σ = 137067858. Its totient is φ = 137067856.

The previous prime is 137067779. The next prime is 137067859. The reversal of 137067857 is 758760731.

137067857 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., 136796416 + 271441 = 11696^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 137067857 - 2²⁰ = 136019281 is a prime.

Together with 137067859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137067859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68533928 + 68533929.

It is an arithmetic number, because the mean of its divisors is an integer number (68533929).

Almost surely, 2^137067857 is an apocalyptic number.

It is an amenable number.

137067857 is a deficient number, since it is larger than the sum of its proper divisors (1).

137067857 is an equidigital number, since it uses as much as digits as its factorization.

137067857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 44.

The square root of 137067857 is about 11707.5982592503. The cubic root of 137067857 is about 515.5987719356.

The spelling of 137067857 in words is "one hundred thirty-seven million, sixty-seven thousand, eight hundred fifty-seven".