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135899963136 = 283372808779
BaseRepresentation
bin111111010010001000…
…1001101111100000000
3110222210002202102112000
41332210101031330000
54211310342310021
6142233115504000
712550504425030
oct1764421157400
9428702672460
10135899963136
11526a8a93823
1222408758000
13ca7a316092
146812cb78c0
153805cdab26
hex1fa444df00

135899963136 has 144 divisors (see below), whose sum is σ = 459291705600. Its totient is φ = 38828547072.

The previous prime is 135899963131. The next prime is 135899963159. The reversal of 135899963136 is 631369998531.

135899963136 is a `hidden beast` number, since 1 + 358 + 9 + 99 + 63 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135899963131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356006 + ... + 1452773.

Almost surely, 2135899963136 is an apocalyptic number.

135899963136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135899963136 is an abundant number, since it is smaller than the sum of its proper divisors (323391742464).

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

135899963136 is an equidigital number, since it uses as much as digits as its factorization.

135899963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808811 (or 2808791 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 135899963136 in words is "one hundred thirty-five billion, eight hundred ninety-nine million, nine hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 2808779 5617558 8426337 11235116 16852674 19661453 22470232 25279011 33705348 39322906 44940464 50558022 58984359 67410696 75837033 78645812 89880928 101116044 117968718 134821392 151674066 157291624 176953077 179761856 202232088 235937436 269642784 303348132 314583248 353906154 359523712 404464176 471874872 530859231 539285568 606696264 629166496 707812308 719047424 808928352 943749744 1061718462 1078571136 1213392528 1258332992 1415624616 1617856704 1887499488 2123436924 2157142272 2426785056 2516665984 2831249232 3235713408 3774998976 4246873848 4853570112 5033331968 5662498464 6471426816 7549997952 8493747696 9707140224 11324996928 15099995904 16987495392 19414280448 22649993856 33974990784 45299987712 67949981568 135899963136