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134506812195 = 33571917941851
BaseRepresentation
bin111110101000100111…
…0110001001100100011
3110212012000022000201000
41331101032301030203
54200432220442240
6141442551443043
712501130016340
oct1752116611443
9425160260630
10134506812195
1152053652908
122209a086483
13c8b77c4c02
14671dc697c7
15377384a430
hex1f513b1323

134506812195 has 128 divisors (see below), whose sum is σ = 289281024000. Its totient is φ = 57925756800.

The previous prime is 134506812131. The next prime is 134506812331. The reversal of 134506812195 is 591218605431.

It is a happy number.

134506812195 is a `hidden beast` number, since 1 + 3 + 450 + 6 + 8 + 1 + 2 + 195 = 666.

It is not a de Polignac number, because 134506812195 - 26 = 134506812131 is a prime.

It is a super-2 number, since 2×1345068121952 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 134506812195.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3193020 + ... + 3234870.

It is an arithmetic number, because the mean of its divisors is an integer number (2260008000).

Almost surely, 2134506812195 is an apocalyptic number.

134506812195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134506812195 is an abundant number, since it is smaller than the sum of its proper divisors (154774211805).

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

134506812195 is a wasteful number, since it uses less digits than its factorization.

134506812195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42070 (or 42064 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 134506812195 in words is "one hundred thirty-four billion, five hundred six million, eight hundred twelve thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 179 189 285 315 399 513 537 665 855 895 945 1197 1253 1611 1995 2565 2685 3401 3591 3759 4833 5985 6265 8055 10203 11277 17005 17955 18795 23807 24165 30609 33831 41851 51015 56385 71421 91827 119035 125553 153045 169155 209255 214263 292957 357105 376659 459135 627765 642789 795169 878871 1071315 1129977 1464785 1883295 2385507 2636613 3213945 3975845 4394355 5566183 5649885 7156521 7491329 7909839 11927535 13183065 16698549 21469563 22473987 27830915 35782605 37456645 39549195 50095647 52439303 67421961 83492745 107347815 112369935 142335251 150286941 157317909 202265883 250478235 262196515 337109805 427005753 471953727 711676255 751434705 786589545 996346757 1011329415 1281017259 1415861181 2135028765 2359768635 2989040271 3843051777 4981733785 6405086295 7079305905 8967120813 14945201355 19215258885 26901362439 44835604065 134506812195