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135952866 = 232719109521
BaseRepresentation
bin10000001101001…
…11100111100010
3100110211010021100
420012213213202
5234300442431
621253535230
73240403020
oct1006474742
9313733240
10135952866
116a818445
1239644516
13222211aa
14140ad710
15be074e6
hex81a79e2

135952866 has 96 divisors (see below), whose sum is σ = 358300800. Its totient is φ = 36391680.

The previous prime is 135952829. The next prime is 135952889. The reversal of 135952866 is 668259531.

135952866 is a `hidden beast` number, since 13 + 59 + 528 + 66 = 666.

It is a super-2 number, since 2×1359528662 = 36966363547227912, which contains 22 as substring.

It is a zygodrome in base 13.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 260686 + ... + 261206.

It is an arithmetic number, because the mean of its divisors is an integer number (3732300).

Almost surely, 2135952866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135952866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179150400).

135952866 is an abundant number, since it is smaller than the sum of its proper divisors (222347934).

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

135952866 is a wasteful number, since it uses less digits than its factorization.

135952866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135952866 is about 11659.8827609886. The cubic root of 135952866 is about 514.1969020580.

It can be divided in two parts, 13595 and 2866, that added together give a palindrome (16461).

The spelling of 135952866 in words is "one hundred thirty-five million, nine hundred fifty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 109 114 126 133 171 218 266 327 342 399 521 654 763 798 981 1042 1197 1526 1563 1962 2071 2289 2394 3126 3647 4142 4578 4689 6213 6867 7294 9378 9899 10941 12426 13734 14497 18639 19798 21882 28994 29697 32823 37278 43491 56789 59394 65646 69293 86982 89091 113578 130473 138586 170367 178182 207879 260946 340734 397523 415758 511101 623637 795046 1022202 1078991 1192569 1247274 2157982 2385138 3236973 3577707 6473946 7155414 7552937 9710919 15105874 19421838 22658811 45317622 67976433 135952866