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135561856365 = 34513172365851
BaseRepresentation
bin111111001000000011…
…1011100010101101101
3110221220112112211020000
41332100013130111231
54210112313400430
6142135401014513
712536230524015
oct1762007342555
9427815484200
10135561856365
1152545152141
1222333484439
13ca252653c0
1467c0024c45
1537d62a0e60
hex1f901dc56d

135561856365 has 160 divisors (see below), whose sum is σ = 289146122496. Its totient is φ = 60080486400.

The previous prime is 135561856357. The next prime is 135561856387. The reversal of 135561856365 is 563658165531.

135561856365 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 18 + 563 + 65 = 666.

It is not a de Polignac number, because 135561856365 - 23 = 135561856357 is a prime.

It is a super-2 number, since 2×1355618563652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2025690 + ... + 2091540.

Almost surely, 2135561856365 is an apocalyptic number.

135561856365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135561856365 is an abundant number, since it is smaller than the sum of its proper divisors (153584266131).

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

135561856365 is a wasteful number, since it uses less digits than its factorization.

135561856365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65921 (or 65912 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 135561856365 in words is "one hundred thirty-five billion, five hundred sixty-one million, eight hundred fifty-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 23 27 39 45 51 65 69 81 85 115 117 135 153 195 207 221 255 299 345 351 391 405 459 585 621 663 765 897 1035 1053 1105 1173 1377 1495 1755 1863 1955 1989 2295 2691 3105 3315 3519 4485 5083 5265 5865 5967 6885 8073 9315 9945 10557 13455 15249 17595 17901 24219 25415 29835 31671 40365 45747 52785 65851 76245 89505 121095 137241 158355 197553 228735 329255 411723 592659 686205 856063 987765 1119467 1514573 1777977 2058615 2568189 2963295 3358401 4280315 4543719 5333931 5597335 7572865 7704567 8889885 10075203 12840945 13631157 14553071 16792005 19689449 22718595 23113701 25747741 26669655 30225609 38522835 40893471 43659213 50376015 59068347 68155785 69341103 72765355 77243223 90676827 98447245 115568505 122680413 128738705 130977639 151128045 177205041 204467355 218296065 231729669 295341735 334720633 346705515 386216115 392932917 453384135 531615123 613402065 654888195 695189007 886025205 1004161899 1158648345 1178798751 1594845369 1673603165 1964664585 2085567021 2658075615 3012485697 3475945035 5020809495 5893993755 7974226845 9037457091 10427835105 15062428485 27112371273 45187285455 135561856365