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137057339 is a prime number
BaseRepresentation
bin10000010101101…
…01010000111011
3100112220020022202
420022311100323
5240041313324
621333340415
73252653036
oct1012652073
9315806282
10137057339
1170402231
1239a9770b
1322519b23
14142ba01d
15c0748ae
hex82b543b

137057339 has 2 divisors, whose sum is σ = 137057340. Its totient is φ = 137057338.

The previous prime is 137057321. The next prime is 137057341. The reversal of 137057339 is 933750731.

It is a strong prime.

It is an emirp because it is prime and its reverse (933750731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137057339 - 212 = 137053243 is a prime.

Together with 137057341, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p7755257 and since 137057339 and 7755257 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137057359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68528669 + 68528670.

It is an arithmetic number, because the mean of its divisors is an integer number (68528670).

Almost surely, 2137057339 is an apocalyptic number.

137057339 is a deficient number, since it is larger than the sum of its proper divisors (1).

137057339 is an equidigital number, since it uses as much as digits as its factorization.

137057339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59535, while the sum is 38.

The square root of 137057339 is about 11707.1490551714. The cubic root of 137057339 is about 515.5855833181.

The spelling of 137057339 in words is "one hundred thirty-seven million, fifty-seven thousand, three hundred thirty-nine".