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138151566 = 23277913879
BaseRepresentation
bin10000011110000…
…00011010001110
3100121221211022200
420033000122032
5240331322231
621413022330
73265161150
oct1017003216
9317854280
10138151566
1170a8a353
123a3249a6
1322810bb7
14144c2ad0
15c1ddbe6
hex83c068e

138151566 has 48 divisors (see below), whose sum is σ = 346444800. Its totient is φ = 38969424.

The previous prime is 138151553. The next prime is 138151567. The reversal of 138151566 is 665151831.

138151566 is a `hidden beast` number, since 1 + 3 + 81 + 515 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138151566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138151567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3015 + ... + 16893.

It is an arithmetic number, because the mean of its divisors is an integer number (7217600).

Almost surely, 2138151566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138151566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173222400).

138151566 is an abundant number, since it is smaller than the sum of its proper divisors (208293234).

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

138151566 is a wasteful number, since it uses less digits than its factorization.

138151566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13970 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 138151566 is about 11753.7894314983. The cubic root of 138151566 is about 516.9540444045.

The spelling of 138151566 in words is "one hundred thirty-eight million, one hundred fifty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 13879 27758 41637 83274 97153 124911 194306 249822 291459 582918 874377 1096441 1748754 2192882 3289323 6578646 7675087 9867969 15350174 19735938 23025261 46050522 69075783 138151566