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135286985 = 5371096709
BaseRepresentation
bin10000001000001…
…01000011001001
3100102120021212002
420010011003021
5234113140420
621231400345
73231630461
oct1004050311
9312507762
10135286985
116a403129
12393830b5
132204a092
1413d78ba1
15bd25075
hex81050c9

135286985 has 16 divisors (see below), whose sum is σ = 168286800. Its totient is φ = 104322816.

The previous prime is 135286981. The next prime is 135286993. The reversal of 135286985 is 589682531.

It can be written as a sum of positive squares in 8 ways, for example, as 15077689 + 120209296 = 3883^2 + 10964^2 .

It is a cyclic number.

It is not a de Polignac number, because 135286985 - 22 = 135286981 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (135286981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16811 + ... + 23519.

It is an arithmetic number, because the mean of its divisors is an integer number (10517925).

Almost surely, 2135286985 is an apocalyptic number.

It is an amenable number.

135286985 is a deficient number, since it is larger than the sum of its proper divisors (32999815).

135286985 is a wasteful number, since it uses less digits than its factorization.

135286985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860.

The product of its digits is 518400, while the sum is 47.

The square root of 135286985 is about 11631.2933502685. The cubic root of 135286985 is about 513.3560359424.

The spelling of 135286985 in words is "one hundred thirty-five million, two hundred eighty-six thousand, nine hundred eighty-five".

Divisors: 1 5 37 109 185 545 4033 6709 20165 33545 248233 731281 1241165 3656405 27057397 135286985