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135246025605060 = 223254368213256163
BaseRepresentation
bin11110110000000101101011…
…010100000011111111000100
3122201212101122001201002101200
4132300011223110003333010
5120211332330023330220
61155351055541022500
740326126410462256
oct3660055324037704
9581771561632350
10135246025605060
113a103576663217
12132037043b4a30
135a608511b0346
142557d2a589cd6
1510980d5c1a890
hex7b016b503fc4

135246025605060 has 144 divisors (see below), whose sum is σ = 419794681610304. Its totient is φ = 35226217845504.

The previous prime is 135246025605059. The next prime is 135246025605101. The reversal of 135246025605060 is 60506520642531.

135246025605060 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 60 + 25 + 60 + 506 + 0 = 666.

135246025605060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135246025604997 and 135246025605015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 527840539 + ... + 528096701.

It is an arithmetic number, because the mean of its divisors is an integer number (2915240844516).

Almost surely, 2135246025605060 is an apocalyptic number.

135246025605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135246025605060 is an abundant number, since it is smaller than the sum of its proper divisors (284548656005244).

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

135246025605060 is a wasteful number, since it uses less digits than its factorization.

135246025605060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324434 (or 324429 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 135246025605060 in words is "one hundred thirty-five trillion, two hundred forty-six billion, twenty-five million, six hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 68213 136426 204639 256163 272852 341065 409278 512326 613917 682130 768489 818556 1023195 1024652 1227834 1280815 1364260 1536978 2046390 2305467 2455668 2561630 2933159 3069585 3073956 3842445 4092780 4610934 5123260 5866318 6139170 7684890 8799477 9221868 11015009 11527335 11732636 12278340 14665795 15369780 17598954 22030018 23054670 26398431 29331590 33045027 35197908 43997385 44060036 46109340 52796862 55075045 58663180 66090054 87994770 99135081 105593724 110150090 131992155 132180108 165225135 175989540 198270162 220300180 263984310 330450270 396540324 495675405 527968620 660900540 991350810 1982701620 17473646719 34947293438 52420940157 69894586876 87368233595 104841880314 157262820471 174736467190 209683760628 262104700785 314525640942 349472934380 524209401570 629051281884 751366808917 786314102355 1048418803140 1502733617834 1572628204710 2254100426751 3005467235668 3145256409420 3756834044585 4508200853502 6762301280253 7513668089170 9016401707004 11270502133755 13524602560506 15027336178340 22541004267510 27049205121012 33811506401265 45082008535020 67623012802530 135246025605060