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135918468 = 223271731727
BaseRepresentation
bin10000001100111…
…11001110000100
3100110202101002100
420012133032010
5234243342333
621253112100
73240200520
oct1006371604
9313671070
10135918468
116a7a4614
1239628630
132220b63a
14140a0d80
15bdec213
hex819f384

135918468 has 72 divisors (see below), whose sum is σ = 415763712. Its totient is φ = 36548352.

The previous prime is 135918463. The next prime is 135918469. The reversal of 135918468 is 864819531.

135918468 is a `hidden beast` number, since 13 + 591 + 8 + 46 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135918463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11580 + ... + 20147.

It is an arithmetic number, because the mean of its divisors is an integer number (5774496).

Almost surely, 2135918468 is an apocalyptic number.

135918468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135918468 is an abundant number, since it is smaller than the sum of its proper divisors (279845244).

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

135918468 is a wasteful number, since it uses less digits than its factorization.

135918468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31761 (or 31756 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 135918468 is about 11658.4076099611. The cubic root of 135918468 is about 514.1535320346.

The spelling of 135918468 in words is "one hundred thirty-five million, nine hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 31727 63454 95181 126908 190362 222089 285543 380724 444178 539359 571086 666267 888356 1078718 1142172 1332534 1618077 1998801 2157436 2665068 3236154 3775513 3997602 4854231 6472308 7551026 7995204 9708462 11326539 15102052 19416924 22653078 33979617 45306156 67959234 135918468