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135086718 = 23134153797
BaseRepresentation
bin10000000110101…
…00001001111110
3100102012010010210
420003110021332
5234040233333
621223213250
73230134554
oct1003241176
9312163123
10135086718
116a286718
12392a7226
1321ca9b90
1413d25bd4
15bcd5a63
hex80d427e

135086718 has 64 divisors (see below), whose sum is σ = 304057152. Its totient is φ = 39736320.

The previous prime is 135086717. The next prime is 135086723. The reversal of 135086718 is 817680531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135086711) 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, 169096 + ... + 169892.

It is an arithmetic number, because the mean of its divisors is an integer number (4750893).

Almost surely, 2135086718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135086718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152028576).

135086718 is an abundant number, since it is smaller than the sum of its proper divisors (168970434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135086718 is a wasteful number, since it uses less digits than its factorization.

135086718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 135086718 is about 11622.6811880908. The cubic root of 135086718 is about 513.1026017473.

The spelling of 135086718 in words is "one hundred thirty-five million, eighty-six thousand, seven hundred eighteen".

Divisors: 1 2 3 6 13 26 39 41 53 78 82 106 123 159 246 318 533 689 797 1066 1378 1594 1599 2067 2173 2391 3198 4134 4346 4782 6519 10361 13038 20722 28249 31083 32677 42241 56498 62166 65354 84482 84747 98031 126723 169494 196062 253446 424801 549133 849602 1098266 1274403 1647399 1731881 2548806 3294798 3463762 5195643 10391286 22514453 45028906 67543359 135086718