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135237857 is a prime number
BaseRepresentation
bin10000000111110…
…01000011100001
3100102110210110112
420003321003201
5234110102412
621230341105
73231334316
oct1003710341
9312423415
10135237857
116a37a227
123935a795
1322030901
1413d64d0d
15bd15722
hex80f90e1

135237857 has 2 divisors, whose sum is σ = 135237858. Its totient is φ = 135237856.

The previous prime is 135237811. The next prime is 135237859. The reversal of 135237857 is 758732531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114041041 + 21196816 = 10679^2 + 4604^2 .

It is an emirp because it is prime and its reverse (758732531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135237857 - 210 = 135236833 is a prime.

Together with 135237859, 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 (135237859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67618928 + 67618929.

It is an arithmetic number, because the mean of its divisors is an integer number (67618929).

Almost surely, 2135237857 is an apocalyptic number.

It is an amenable number.

135237857 is a deficient number, since it is larger than the sum of its proper divisors (1).

135237857 is an equidigital number, since it uses as much as digits as its factorization.

135237857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 41.

The square root of 135237857 is about 11629.1812695477. The cubic root of 135237857 is about 513.2938885285.

The spelling of 135237857 in words is "one hundred thirty-five million, two hundred thirty-seven thousand, eight hundred fifty-seven".