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135418257 = 33131931999
BaseRepresentation
bin10000001001001…
…01000110010001
3100102210221221000
420010211012101
5234131341012
621234252213
73233015262
oct1004450621
9312727830
10135418257
116a492817
1239427069
1322094a60
1413db0969
15bd4dddc
hex8125191

135418257 has 32 divisors (see below), whose sum is σ = 217280000. Its totient is φ = 82861056.

The previous prime is 135418253. The next prime is 135418259. The reversal of 135418257 is 752814531.

It is not a de Polignac number, because 135418257 - 22 = 135418253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135418253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66744 + ... + 68742.

It is an arithmetic number, because the mean of its divisors is an integer number (6790000).

Almost surely, 2135418257 is an apocalyptic number.

It is an amenable number.

135418257 is a deficient number, since it is larger than the sum of its proper divisors (81861743).

135418257 is a wasteful number, since it uses less digits than its factorization.

135418257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 135418257 is about 11636.9350346214. The cubic root of 135418257 is about 513.5220225642.

The spelling of 135418257 in words is "one hundred thirty-five million, four hundred eighteen thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 193 351 579 1737 1999 2509 5211 5997 7527 17991 22581 25987 53973 67743 77961 233883 385807 701649 1157421 3472263 5015491 10416789 15046473 45139419 135418257