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135568888 = 23721337719
BaseRepresentation
bin10000001010010…
…01110111111000
3100110002121112221
420011021313320
5234201201023
621241413424
73234213400
oct1005116770
9313077487
10135568888
116a585a04
123949a274
13221184a0
141400d800
15bd7d85d
hex8149df8

135568888 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 52109568.

The previous prime is 135568883. The next prime is 135568973. The reversal of 135568888 is 888865531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135568883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188193 + ... + 188911.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2135568888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135568888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

135568888 is an abundant number, since it is smaller than the sum of its proper divisors (191930312).

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

135568888 is a wasteful number, since it uses less digits than its factorization.

135568888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 52.

The square root of 135568888 is about 11643.4053437987. The cubic root of 135568888 is about 513.7123555236.

The spelling of 135568888 in words is "one hundred thirty-five million, five hundred sixty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 637 719 728 962 1036 1274 1438 1813 1924 2072 2548 2876 3367 3626 3848 5033 5096 5752 6734 7252 9347 10066 13468 14504 18694 20132 23569 26603 26936 35231 37388 40264 47138 53206 65429 70462 74776 94276 106412 130858 140924 186221 188552 212824 261716 281848 345839 372442 458003 523432 691678 744884 916006 1303547 1383356 1489768 1832012 2420873 2607094 2766712 3664024 4841746 5214188 9683492 10428376 16946111 19366984 33892222 67784444 135568888