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134027357655198 = 23753163404991229
BaseRepresentation
bin11110011110010110101101…
…000010110001000010011110
3122120112220000222221212102210
4132132112231002301002132
5120031401012024431243
61153015152413301250
740142104603020360
oct3636265502610236
9576486028855383
10134027357655198
1139783757346097
1213047496a94826
1359a2958197b77
142514d5ca40d30
15107655c1d5933
hex79e5ad0b109e

134027357655198 has 128 divisors (see below), whose sum is σ = 314124303744000. Its totient is φ = 37330882947072.

The previous prime is 134027357655133. The next prime is 134027357655211. The reversal of 134027357655198 is 891556753720431.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469085448 + ... + 1469176676.

It is an arithmetic number, because the mean of its divisors is an integer number (2454096123000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅134027357655198 = 268054715310396, but 3⋅134027357655198 = 402082072965594 is not.

Almost surely, 2134027357655198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134027357655198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157062151872000).

134027357655198 is an abundant number, since it is smaller than the sum of its proper divisors (180096946088802).

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

134027357655198 is a wasteful number, since it uses less digits than its factorization.

134027357655198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95506.

The product of its (nonzero) digits is 190512000, while the sum is 66.

The spelling of 134027357655198 in words is "one hundred thirty-four trillion, twenty-seven billion, three hundred fifty-seven million, six hundred fifty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 163 318 326 371 489 742 978 1113 1141 2226 2282 3423 4049 6846 8098 8639 12147 17278 24294 25917 28343 51834 56686 60473 85029 91229 120946 170058 181419 182458 214597 273687 362838 429194 547374 638603 643791 659987 1277206 1287582 1319974 1502179 1915809 1979961 3004358 3831618 3959922 4506537 4619909 4835137 9013074 9239818 9670274 13859727 14505411 14870327 27719454 29010822 29740654 33845959 34979311 44610981 67691918 69958622 89221962 101537877 104092289 104937933 203075754 208184578 209875866 244855177 312276867 369386221 489710354 624553734 734565531 738772442 788127331 1108158663 1469131062 1576254662 2216317326 2364381993 2585703547 4728763986 5171407094 5516891317 7757110641 11033782634 15514221282 16550673951 19577469713 33101347902 39154939426 58732409139 60209954023 117464818278 120419908046 137042287991 180629862069 274084575982 361259724138 411126863973 421469678161 822253727946 842939356322 1264409034483 2528818068966 3191127563219 6382255126438 9573382689657 19146765379314 22337892942533 44675785885066 67013678827599 134027357655198