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136071468 = 223313175701
BaseRepresentation
bin10000001110001…
…00100100101100
3100111001010222000
420013010210230
5234313241333
621300252300
73241405551
oct1007044454
9314033860
10136071468
116a899565
12396a1090
1322263180
1414100a28
15be2c713
hex81c492c

136071468 has 96 divisors (see below), whose sum is σ = 402333120. Its totient is φ = 39398400.

The previous prime is 136071457. The next prime is 136071491. The reversal of 136071468 is 864170631.

136071468 is a `hidden beast` number, since 1 + 3 + 607 + 1 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21018 + ... + 26718.

It is an arithmetic number, because the mean of its divisors is an integer number (4190970).

Almost surely, 2136071468 is an apocalyptic number.

136071468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136071468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201166560).

136071468 is an abundant number, since it is smaller than the sum of its proper divisors (266261652).

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

136071468 is a wasteful number, since it uses less digits than its factorization.

136071468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 136071468 is about 11664.9675524624. The cubic root of 136071468 is about 514.3463829222.

The spelling of 136071468 in words is "one hundred thirty-six million, seventy-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5701 5967 7956 11402 11934 17103 22804 23868 34206 51309 68412 74113 96917 102618 148226 153927 193834 205236 222339 290751 296452 307854 387668 444678 581502 615708 667017 872253 889356 1163004 1259921 1334034 1744506 2001051 2519842 2616759 2668068 3489012 3779763 4002102 5039684 5233518 7559526 8004204 10467036 11339289 15119052 22678578 34017867 45357156 68035734 136071468