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136146456310060 = 225747193107206999
BaseRepresentation
bin11110111101001100010001…
…001010100111000100101100
3122212001110210121221020211001
4132331030101022213010230
5120321110420303410220
61201320452452010044
740451154051260440
oct3675142112470454
9585043717836731
10136146456310060
113a42042a290059
121332a118900924
135ac772bc6b881
142589748c4a820
1510b1735e7380a
hex7bd3112a712c

136146456310060 has 96 divisors (see below), whose sum is σ = 335432692224000. Its totient is φ = 45448905904128.

The previous prime is 136146456310027. The next prime is 136146456310093. The reversal of 136146456310060 is 60013654641631.

It is an interprime number because it is at equal distance from previous prime (136146456310027) and next prime (136146456310093).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52333560 + ... + 54873439.

It is an arithmetic number, because the mean of its divisors is an integer number (3494090544000).

Almost surely, 2136146456310060 is an apocalyptic number.

136146456310060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136146456310060 is an abundant number, since it is smaller than the sum of its proper divisors (199286235913940).

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

136146456310060 is a wasteful number, since it uses less digits than its factorization.

136146456310060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107207255 (or 107207253 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 136146456310060 in words is "one hundred thirty-six trillion, one hundred forty-six billion, four hundred fifty-six million, three hundred ten thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 193 235 329 386 470 658 772 940 965 1316 1351 1645 1930 2702 3290 3860 5404 6580 6755 9071 13510 18142 27020 36284 45355 63497 90710 126994 181420 253988 317485 634970 1269940 107206999 214413998 428827996 536034995 750448993 1072069990 1500897986 2144139980 3001795972 3752244965 5038728953 7504489930 10077457906 15008979860 20154915812 20690950807 25193644765 35271102671 41381901614 50387289530 70542205342 82763803228 100774579060 103454754035 141084410684 144836655649 176355513355 206909508070 289673311298 352711026710 413819016140 579346622596 705422053420 724183278245 972474687929 1448366556490 1944949375858 2896733112980 3889898751716 4862373439645 6807322815503 9724746879290 13614645631006 19449493758580 27229291262012 34036614077515 68073228155030 136146456310060