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135042246360 = 23335717862731
BaseRepresentation
bin111110111000100100…
…1010010011011011000
3110220120022210220022000
41331301021102123120
54203031303340420
6142012040001000
712520321104030
oct1756111223330
9426508726260
10135042246360
11522a891148a
1222209460160
13c971705568
1467710068c0
1537a5862690
hex1f712526d8

135042246360 has 128 divisors (see below), whose sum is σ = 514446681600. Its totient is φ = 30866797440.

The previous prime is 135042246359. The next prime is 135042246373. The reversal of 135042246360 is 63642240531.

135042246360 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 2 + 246 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8923806 + ... + 8938925.

It is an arithmetic number, because the mean of its divisors is an integer number (4019114700).

Almost surely, 2135042246360 is an apocalyptic number.

135042246360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135042246360 is an abundant number, since it is smaller than the sum of its proper divisors (379404435240).

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

135042246360 is a wasteful number, since it uses less digits than its factorization.

135042246360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862758 (or 17862748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 135042246360 its reverse (63642240531), we get a palindrome (198684486891).

The spelling of 135042246360 in words is "one hundred thirty-five billion, forty-two million, two hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 17862731 35725462 53588193 71450924 89313655 107176386 125039117 142901848 160764579 178627310 214352772 250078234 267940965 321529158 357254620 375117351 428705544 482293737 500156468 535881930 625195585 643058316 714509240 750234702 803822895 964587474 1000312936 1071763860 1125352053 1250391170 1286116632 1500469404 1607645790 1875586755 1929174948 2143527720 2250704106 2411468685 2500782340 3000938808 3215291580 3376056159 3751173510 3858349896 4501408212 4822937370 5001564680 5626760265 6430583160 6752112318 7502347020 9002816424 9645874740 11253520530 13504224636 15004694040 16880280795 19291749480 22507041060 27008449272 33760561590 45014082120 67521123180 135042246360