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135020313560 = 2351138213089
BaseRepresentation
bin111110110111111010…
…1100111101111011000
3110220111210112121011002
41331233311213233120
54203010200013220
6142005533524132
712516633505016
oct1755765475730
9426453477132
10135020313560
11522974a1000
1222202043648
13c969cc6482
14676c1378b6
1537a397dc75
hex1f6fd67bd8

135020313560 has 128 divisors (see below), whose sum is σ = 334667764800. Its totient is φ = 49022617600.

The previous prime is 135020313521. The next prime is 135020313577. The reversal of 135020313560 is 65313020531.

It is a congruent number.

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, 43708496 + ... + 43711584.

Almost surely, 2135020313560 is an apocalyptic number.

135020313560 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 135020313560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333882400).

135020313560 is an abundant number, since it is smaller than the sum of its proper divisors (199647451240).

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

135020313560 is a wasteful number, since it uses less digits than its factorization.

135020313560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 135020313560 in words is "one hundred thirty-five billion, twenty million, three hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 821 968 1210 1331 1642 2420 2662 3089 3284 4105 4840 5324 6178 6568 6655 8210 9031 10648 12356 13310 15445 16420 18062 24712 26620 30890 32840 33979 36124 45155 53240 61780 67958 72248 90310 99341 123560 135916 169895 180620 198682 271832 339790 361240 373769 397364 496705 679580 747538 794728 993410 1092751 1359160 1495076 1868845 1986820 2185502 2536069 2990152 3737690 3973640 4111459 4371004 5072138 5463755 7475380 8222918 8742008 10144276 10927510 12680345 14950760 16445836 20288552 20557295 21855020 25360690 27896759 32891672 41114590 43710040 50721380 55793518 82229180 101442760 111587036 139483795 164458360 223174072 278967590 306864349 557935180 613728698 1115870360 1227457396 1534321745 2454914792 3068643490 3375507839 6137286980 6751015678 12274573960 13502031356 16877539195 27004062712 33755078390 67510156780 135020313560