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135563137 is a prime number
BaseRepresentation
bin10000001010010…
…00011110000001
3100110002022122221
420011020132001
5234201010022
621241331041
73234160543
oct1005103601
9313068587
10135563137
116a581656
1239496a81
1322115998
141400b693
15bd7bcc7
hex8148781

135563137 has 2 divisors, whose sum is σ = 135563138. Its totient is φ = 135563136.

The previous prime is 135563101. The next prime is 135563147. The reversal of 135563137 is 731365531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109746576 + 25816561 = 10476^2 + 5081^2 .

It is a cyclic number.

It is not a de Polignac number, because 135563137 - 27 = 135563009 is a prime.

It is a super-2 number, since 2×1355631372 = 36754728226561538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135563147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67781568 + 67781569.

It is an arithmetic number, because the mean of its divisors is an integer number (67781569).

Almost surely, 2135563137 is an apocalyptic number.

It is an amenable number.

135563137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135563137 is an equidigital number, since it uses as much as digits as its factorization.

135563137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28350, while the sum is 34.

The square root of 135563137 is about 11643.1583773476. The cubic root of 135563137 is about 513.7050913162.

The spelling of 135563137 in words is "one hundred thirty-five million, five hundred sixty-three thousand, one hundred thirty-seven".