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135243501057 = 32719241433373
BaseRepresentation
bin111110111110100100…
…1000000111000000001
3110221002100111200211200
41331331021000320001
54203434314013212
6142044025331413
712525313535310
oct1757511007001
9427070450750
10135243501057
11523a1481085
1222264936b69
13c9a430b992
14678da34277
1537b83686dc
hex1f7d240e01

135243501057 has 144 divisors (see below), whose sum is σ = 247061662848. Its totient is φ = 69746987520.

The previous prime is 135243501049. The next prime is 135243501061. The reversal of 135243501057 is 750105342531.

135243501057 is a `hidden beast` number, since 13 + 52 + 43 + 501 + 0 + 57 = 666.

It is not a de Polignac number, because 135243501057 - 23 = 135243501049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135243501007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40094223 + ... + 40097595.

It is an arithmetic number, because the mean of its divisors is an integer number (1715705992).

Almost surely, 2135243501057 is an apocalyptic number.

It is an amenable number.

135243501057 is a deficient number, since it is larger than the sum of its proper divisors (111818161791).

135243501057 is a wasteful number, since it uses less digits than its factorization.

135243501057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 135243501057 its reverse (750105342531), we get a palindrome (885348843588).

The spelling of 135243501057 in words is "one hundred thirty-five billion, two hundred forty-three million, five hundred one thousand, fifty-seven".

Divisors: 1 3 7 9 19 21 41 43 57 63 123 129 133 171 287 301 361 369 387 399 779 817 861 903 1083 1197 1763 2337 2451 2527 2583 2709 3249 3373 5289 5453 5719 7011 7353 7581 10119 12341 14801 15523 15867 16359 17157 22743 23611 30357 33497 37023 44403 46569 49077 51471 64087 70833 100491 103607 108661 111069 133209 138293 139707 145039 192261 212499 234479 301473 310821 325983 414879 435117 448609 576783 636443 703437 932463 968051 977949 1015273 1217653 1244637 1305351 1345827 1909329 2110311 2627567 2755741 2904153 3045819 3652959 4037481 4455101 5727987 5946599 7882701 8267223 8523571 8712459 9137457 10958877 13365303 17839797 18392969 19290187 23648103 24801669 25570713 40095909 41626193 49923773 52359079 53519391 55178907 57870561 76712139 112985381 124878579 149771319 157077237 165536721 173611683 338956143 349466411 366513553 374635737 449313957 471231711 790897667 1016868429 1048399233 1099540659 2146722239 2372693001 3145197699 3298621977 6440166717 7118079003 15027055673 19320500151 45081167019 135243501057