Search a number
-
+
135141012232660 = 225717310993507571
BaseRepresentation
bin11110101110100011111000…
…000001110101100111010100
3122201111100120111112001002201
4132232203320001311213110
5120203122243112421120
61155230531324014244
740315421156522560
oct3656437001654724
9581440514461081
10135141012232660
113a072a88317245
12131a7297691384
135a53986b3c475
142552c077866a0
1510954db7d740a
hex7ae8f80759d4

135141012232660 has 96 divisors (see below), whose sum is σ = 326243535351552. Its totient is φ = 46061953136640.

The previous prime is 135141012232643. The next prime is 135141012232661. The reversal of 135141012232660 is 66232210141531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135141012232661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265996675 + ... + 266504245.

It is an arithmetic number, because the mean of its divisors is an integer number (3398370159912).

Almost surely, 2135141012232660 is an apocalyptic number.

135141012232660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135141012232660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163121767675776).

135141012232660 is an abundant number, since it is smaller than the sum of its proper divisors (191102523118892).

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

135141012232660 is a wasteful number, since it uses less digits than its factorization.

135141012232660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518753 (or 518751 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 135141012232660 in words is "one hundred thirty-five trillion, one hundred forty-one billion, twelve million, two hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 10993 12110 21986 24220 43972 54965 76951 109930 153902 219860 307804 384755 507571 769510 1015142 1539020 1901789 2030284 2537855 3552997 3803578 5075710 7105994 7607156 9508945 10151420 13312523 14211988 17764985 19017890 26625046 35529970 38035780 53250092 66562615 71059940 87809783 133125230 175619566 266250460 351239132 439048915 614668481 878097830 1229336962 1756195660 2458673924 3073342405 5579728003 6146684810 11159456006 12293369620 22318912012 27898640015 39058096021 55797280030 78116192042 111594560060 156232384084 195290480105 390580960210 781161920420 965292944519 1930585889038 3861171778076 4826464722595 6757050611633 9652929445190 13514101223266 19305858890380 27028202446532 33785253058165 67570506116330 135141012232660