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135652716102225 = 35271747323386891
BaseRepresentation
bin11110110110000000011011…
…111101001100001001010001
3122210022021101000121221002210
4132312000123331030021101
5120240013230310232400
61200301555241502333
740400404522614030
oct3666003375141121
9583267330557083
10135652716102225
113a24aaa2865113
121326a4a41a19a9
135a8ccc497a33a
14256d8ab140717
1510a3989b93950
hex7b601bf4c251

135652716102225 has 96 divisors (see below), whose sum is σ = 277171024490496. Its totient is φ = 57123060249600.

The previous prime is 135652716102223. The next prime is 135652716102263. The reversal of 135652716102225 is 522201617256531.

It is not a de Polignac number, because 135652716102225 - 21 = 135652716102223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135652716102223) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 161273971 + ... + 162112920.

It is an arithmetic number, because the mean of its divisors is an integer number (2887198171776).

Almost surely, 2135652716102225 is an apocalyptic number.

135652716102225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135652716102225 is an abundant number, since it is smaller than the sum of its proper divisors (141518308388271).

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

135652716102225 is a wasteful number, since it uses less digits than its factorization.

135652716102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323386975 (or 323386970 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 135652716102225 in words is "one hundred thirty-five trillion, six hundred fifty-two billion, seven hundred sixteen million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 47 51 75 85 105 119 141 175 235 255 329 357 425 525 595 705 799 987 1175 1275 1645 1785 2397 2975 3525 3995 4935 5593 8225 8925 11985 16779 19975 24675 27965 59925 83895 139825 419475 323386891 970160673 1616934455 2263708237 4850803365 5497577147 6791124711 8084672275 11318541185 15199183877 16492731441 24254016825 27487885735 33955623555 38483040029 45597551631 56592705925 75995919385 82463657205 106394287139 115449120087 137439428675 169778117775 192415200145 227987758155 258386125909 319182861417 379979596925 412318286025 531971435695 577245600435 775158377727 962076000725 1139938790775 1291930629545 1595914307085 1808702881363 2659857178475 2886228002175 3875791888635 5426108644089 6459653147725 7979571535425 9043514406815 19378959443175 27130543220445 45217572034075 135652716102225