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135134516620 = 225194173311833
BaseRepresentation
bin111110111011010100…
…1010001010110001100
3110220210202102201022001
41331312221101112030
54203223414012440
6142025133402044
712522521303365
oct1756651212614
9426722381261
10135134516620
1152345a034a4
1222234339324
13c98787094c
14677d384b6c
1537ad9dbb9a
hex1f76a5158c

135134516620 has 96 divisors (see below), whose sum is σ = 306447583680. Its totient is φ = 49887498240.

The previous prime is 135134516603. The next prime is 135134516669. The reversal of 135134516620 is 26615431531.

It is a super-2 number, since 2×1351345166202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135134516620.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11414224 + ... + 11426056.

It is an arithmetic number, because the mean of its divisors is an integer number (3192162330).

Almost surely, 2135134516620 is an apocalyptic number.

135134516620 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 135134516620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153223791840).

135134516620 is an abundant number, since it is smaller than the sum of its proper divisors (171313067060).

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

135134516620 is a wasteful number, since it uses less digits than its factorization.

135134516620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 135134516620 in words is "one hundred thirty-five billion, one hundred thirty-four million, five hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 733 779 820 1466 1558 2932 3116 3665 3895 7330 7790 11833 13927 14660 15580 23666 27854 30053 47332 55708 59165 60106 69635 118330 120212 139270 150265 224827 236660 278540 300530 449654 485153 571007 601060 899308 970306 1124135 1142014 1940612 2248270 2284028 2425765 2855035 4496540 4851530 5710070 8673589 9217907 9703060 11420140 17347178 18435814 34694356 36871628 43367945 46089535 86735890 92179070 164798191 173471780 184358140 329596382 355617149 659192764 711234298 823990955 1422468596 1647981910 1778085745 3295963820 3556171490 6756725831 7112342980 13513451662 27026903324 33783629155 67567258310 135134516620