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135135657 = 3219241593
BaseRepresentation
bin10000000111000…
…00000110101001
3100102021121021100
420003200012221
5234043320112
621224232013
73230430336
oct1003400651
9312247240
10135135657
116a30a468
123930b609
1321cc6237
1413d3998d
15bce52dc
hex80e01a9

135135657 has 18 divisors (see below), whose sum is σ = 206015082. Its totient is φ = 85346784.

The previous prime is 135135653. The next prime is 135135673. The reversal of 135135657 is 756531531.

It can be written as a sum of positive squares in only one way, i.e., 97239321 + 37896336 = 9861^2 + 6156^2 .

It is not a de Polignac number, because 135135657 - 22 = 135135653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135135653) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17548 + ... + 24045.

Almost surely, 2135135657 is an apocalyptic number.

It is an amenable number.

135135657 is a deficient number, since it is larger than the sum of its proper divisors (70879425).

135135657 is a wasteful number, since it uses less digits than its factorization.

135135657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41637 (or 41615 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 135135657 is about 11624.7863206168. The cubic root of 135135657 is about 513.1645562627.

The spelling of 135135657 in words is "one hundred thirty-five million, one hundred thirty-five thousand, six hundred fifty-seven".

Divisors: 1 3 9 19 57 171 361 1083 3249 41593 124779 374337 790267 2370801 7112403 15015073 45045219 135135657