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136145160 = 233253171193
BaseRepresentation
bin10000001110101…
…10100100001000
3100111011220001100
420013112210020
5234323121120
621302021400
73242133444
oct1007264410
9314156040
10136145160
116a939968
1239717860
132228a888
141411d824
15be44490
hex81d6908

136145160 has 96 divisors (see below), whose sum is σ = 444239640. Its totient is φ = 36160512.

The previous prime is 136145147. The next prime is 136145171. The reversal of 136145160 is 61541631.

136145160 is a `hidden beast` number, since 136 + 14 + 516 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 60559524 = 8694^2 + 7782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113524 + ... + 114716.

Almost surely, 2136145160 is an apocalyptic number.

136145160 is a gapful number since it is divisible by the number (10) 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 136145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222119820).

136145160 is an abundant number, since it is smaller than the sum of its proper divisors (308094480).

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

136145160 is a wasteful number, since it uses less digits than its factorization.

136145160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 136145160 is about 11668.1258135144. The cubic root of 136145160 is about 514.4392174056.

Adding to 136145160 its reverse (61541631), we get a palindrome (197686791).

The spelling of 136145160 in words is "one hundred thirty-six million, one hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 634 951 1193 1268 1585 1902 2386 2536 2853 3170 3579 3804 4755 4772 5706 5965 6340 7158 7608 9510 9544 10737 11412 11930 12680 14265 14316 17895 19020 21474 22824 23860 28530 28632 35790 38040 42948 47720 53685 57060 71580 85896 107370 114120 143160 214740 378181 429480 756362 1134543 1512724 1890905 2269086 3025448 3403629 3781810 4538172 5672715 6807258 7563620 9076344 11345430 13614516 15127240 17018145 22690860 27229032 34036290 45381720 68072580 136145160