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135596868 = 223112359757
BaseRepresentation
bin10000001010100…
…00101101000100
3100110011000221020
420011100231010
5234203044433
621242151140
73234361101
oct1005205504
9313130836
10135596868
116a5a4a30
12394b24b0
1322128144
1414019aa8
15bd86cb3
hex8150b44

135596868 has 96 divisors (see below), whose sum is σ = 366750720. Its totient is φ = 38586240.

The previous prime is 135596849. The next prime is 135596869. The reversal of 135596868 is 868695531.

It is a super-2 number, since 2×1355968682 = 36773021222818848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135596868.

It is not an unprimeable number, because it can be changed into a prime (135596869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178746 + ... + 179502.

It is an arithmetic number, because the mean of its divisors is an integer number (3820320).

Almost surely, 2135596868 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 135596868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183375360).

135596868 is an abundant number, since it is smaller than the sum of its proper divisors (231153852).

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

135596868 is a wasteful number, since it uses less digits than its factorization.

135596868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 135596868 is about 11644.6068203267. The cubic root of 135596868 is about 513.7476947109.

The spelling of 135596868 in words is "one hundred thirty-five million, five hundred ninety-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 59 66 69 92 118 132 138 177 236 253 276 354 506 649 708 757 759 1012 1298 1357 1514 1518 1947 2271 2596 2714 3028 3036 3894 4071 4542 5428 7788 8142 8327 9084 14927 16284 16654 17411 24981 29854 33308 34822 44663 44781 49962 52233 59708 69644 89326 89562 99924 104466 133989 178652 179124 191521 208932 267978 383042 491293 535956 574563 766084 982586 1027249 1149126 1473879 1965172 2054498 2298252 2947758 3081747 4108996 5895516 6163494 11299739 12326988 22599478 33899217 45198956 67798434 135596868