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136181696 = 2671717881
BaseRepresentation
bin10000001110111…
…11011111000000
3100111020202011112
420013133133000
5234330303241
621302502452
73242345120
oct1007373700
9314222145
10136181696
116a964362
1239734a28
13222a13b1
141412cc80
15be501eb
hex81df7c0

136181696 has 56 divisors (see below), whose sum is σ = 327026016. Its totient is φ = 54927360.

The previous prime is 136181687. The next prime is 136181723. The reversal of 136181696 is 696181631.

136181696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325 + ... + 16556.

Almost surely, 2136181696 is an apocalyptic number.

136181696 is a gapful number since it is divisible by the number (16) 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 136181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163513008).

136181696 is an abundant number, since it is smaller than the sum of its proper divisors (190844320).

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

136181696 is a wasteful number, since it uses less digits than its factorization.

136181696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17907 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 136181696 is about 11669.6913412481. The cubic root of 136181696 is about 514.4852316994.

The spelling of 136181696 in words is "one hundred thirty-six million, one hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 17881 35762 71524 125167 143048 250334 286096 303977 500668 572192 607954 1001336 1144384 1215908 2002672 2127839 2431816 4005344 4255678 4863632 8010688 8511356 9727264 17022712 19454528 34045424 68090848 136181696