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135018315154560 = 273586381485561
BaseRepresentation
bin11110101100110001100110…
…101101101000010010000000
3122201001121212112022122222210
4132230301212231220102000
5120144120002134421220
61155054320243502120
740303515500543655
oct3654614655502200
9581047775278883
10135018315154560
113a025a44a91462
1213187554687940
135a45231c525c6
14254acc816bc2c
151092209b776e0
hex7acc66b68480

135018315154560 has 128 divisors (see below), whose sum is σ = 430869576476160. Its totient is φ = 35963162992640.

The previous prime is 135018315154549. The next prime is 135018315154589. The reversal of 135018315154560 is 65451513810531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39085821 + ... + 42399740.

It is an arithmetic number, because the mean of its divisors is an integer number (3366168566220).

Almost surely, 2135018315154560 is an apocalyptic number.

135018315154560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135018315154560 is an abundant number, since it is smaller than the sum of its proper divisors (295851261321600).

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

135018315154560 is an equidigital number, since it uses as much as digits as its factorization.

135018315154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81486446 (or 81486434 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 135018315154560 in words is "one hundred thirty-five trillion, eighteen billion, three hundred fifteen million, one hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 863 960 1726 1920 2589 3452 4315 5178 6904 8630 10356 12945 13808 17260 20712 25890 27616 34520 41424 51780 55232 69040 82848 103560 110464 138080 165696 207120 276160 331392 414240 552320 828480 1656960 81485561 162971122 244456683 325942244 407427805 488913366 651884488 814855610 977826732 1222283415 1303768976 1629711220 1955653464 2444566830 2607537952 3259422440 3911306928 4889133660 5215075904 6518844880 7822613856 9778267320 10430151808 13037689760 15645227712 19556534640 26075379520 31290455424 39113069280 52150759040 70322039143 78226138560 140644078286 156452277120 210966117429 281288156572 351610195715 421932234858 562576313144 703220391430 843864469716 1054830587145 1125152626288 1406440782860 1687728939432 2109661174290 2250305252576 2812881565720 3375457878864 4219322348580 4500610505152 5625763131440 6750915757728 8438644697160 9001221010304 11251526262880 13501831515456 16877289394320 22503052525760 27003663030912 33754578788640 45006105051520 67509157577280 135018315154560