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135055352075 = 527217191731973
BaseRepresentation
bin111110111000111101…
…1010010000100001011
3110220121020110201221212
41331301323102010023
54203043132231300
6142013224523335
712520540360100
oct1756173220413
9426536421855
10135055352075
1152305252a56
122221192054b
13c974343917
146772a58aa7
1537a6aa0935
hex1f71ed210b

135055352075 has 144 divisors (see below), whose sum is σ = 218491953120. Its totient is φ = 82055393280.

The previous prime is 135055352053. The next prime is 135055352077. The reversal of 135055352075 is 570253550531.

It is not a de Polignac number, because 135055352075 - 220 = 135054303499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135055352077) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68450789 + ... + 68452761.

It is an arithmetic number, because the mean of its divisors is an integer number (1517305230).

Almost surely, 2135055352075 is an apocalyptic number.

135055352075 is a deficient number, since it is larger than the sum of its proper divisors (83436601045).

135055352075 is a wasteful number, since it uses less digits than its factorization.

135055352075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 393750, while the sum is 41.

The spelling of 135055352075 in words is "one hundred thirty-five billion, fifty-five million, three hundred fifty-two thousand, seventy-five".

Divisors: 1 5 7 17 19 25 35 49 85 95 119 133 173 175 245 323 425 475 595 665 833 865 931 1211 1225 1615 1973 2261 2941 2975 3287 3325 4165 4325 4655 6055 8075 8477 9865 11305 13811 14705 15827 16435 20587 20825 23009 23275 30275 33541 37487 42385 49325 55879 56525 69055 73525 79135 82175 96677 102935 115045 144109 161063 167705 187435 211925 234787 262409 279395 341329 345275 391153 395675 483385 514675 575225 637279 720545 805315 838525 937175 1173935 1312045 1396975 1643509 1706645 1836863 1955765 2389303 2416925 2738071 3186395 3602725 4026575 4460953 5802593 5869675 6485251 6560225 8217545 8533225 9184315 9778825 11946515 13690355 15931975 16725121 22304765 29012965 31226671 32426255 40618151 41087725 45396757 45921575 59732575 68451775 83625605 110249267 111523825 145064825 156133355 162131275 203090755 226983785 284327057 317777299 418128025 551246335 771744869 780666775 1015453775 1134918925 1421635285 1588886495 2756231675 3858724345 5402214083 7108176425 7944432475 19293621725 27011070415 135055352075