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135745843268 = 22731743135349
BaseRepresentation
bin111111001101100010…
…1010011000001000100
3110222101100202022210202
41332123011103001010
54211001413441033
6142205532310032
712543623426000
oct1763305230104
9428340668722
10135745843268
1152629a98232
1222385012318
13ca54403ba9
1467da639700
1537e74e58e8
hex1f9b153044

135745843268 has 96 divisors (see below), whose sum is σ = 300152160000. Its totient is φ = 53480867328.

The previous prime is 135745843267. The next prime is 135745843291. The reversal of 135745843268 is 862348547531.

It is not an unprimeable number, because it can be changed into a prime (135745843267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935258 + ... + 1070606.

It is an arithmetic number, because the mean of its divisors is an integer number (3126585000).

Almost surely, 2135745843268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135745843268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150076080000).

135745843268 is an abundant number, since it is smaller than the sum of its proper divisors (164406316732).

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

135745843268 is a wasteful number, since it uses less digits than its factorization.

135745843268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135434 (or 135418 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 56.

The spelling of 135745843268 in words is "one hundred thirty-five billion, seven hundred forty-five million, eight hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 49 68 86 98 119 172 196 238 301 343 476 602 686 731 833 1204 1372 1462 1666 2107 2924 3332 4214 5117 5831 8428 10234 11662 14749 20468 23324 29498 35819 58996 71638 135349 143276 250733 270698 501466 541396 947443 1002932 1894886 2300933 3789772 4601866 5820007 6632101 9203732 11640014 13264202 16106531 23280028 26528404 32213062 40740049 46424707 64426124 81480098 92849414 98940119 112745717 162960196 185698828 197880238 225491434 285180343 395760476 450982868 570360686 692580833 789220019 1140721372 1385161666 1578440038 1996262401 2770323332 3156880076 3992524802 4848065831 7985049604 9696131662 19392263324 33936460817 67872921634 135745843268