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135071118 = 23371327487
BaseRepresentation
bin10000000110100…
…00010110001110
3100102011022202000
420003100112032
5234034233433
621223013130
73230041230
oct1003202616
9312138660
10135071118
116a275a26
123929a1a6
1321ca2a50
1413d20250
15bcd1113
hex80d058e

135071118 has 64 divisors (see below), whose sum is σ = 369438720. Its totient is φ = 35621856.

The previous prime is 135071113. The next prime is 135071149. The reversal of 135071118 is 811170531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135071091 and 135071100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135071113) 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, 8830 + ... + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (5772480).

Almost surely, 2135071118 is an apocalyptic number.

135071118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135071118 is an abundant number, since it is smaller than the sum of its proper divisors (234367602).

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

135071118 is a wasteful number, since it uses less digits than its factorization.

135071118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27518 (or 27512 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 135071118 is about 11622.0100671097. The cubic root of 135071118 is about 513.0828497222.

The spelling of 135071118 in words is "one hundred thirty-five million, seventy-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 27487 54974 82461 164922 192409 247383 357331 384818 494766 577227 714662 742149 1071993 1154454 1484298 1731681 2143986 2501317 3215979 3463362 5002634 5195043 6431958 7503951 9647937 10390086 15007902 19295874 22511853 45023706 67535559 135071118