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136464144640 = 2852329159839
BaseRepresentation
bin111111100010111100…
…1011001100100000000
3111001020102100211001021
41333011321121210000
54213434310112030
6142405112115224
712600465043045
oct1770571314400
9431212324037
10136464144640
11529684a772a
1222545695b14
13cb3a1804a5
146867bb91cc
15383a5d097a
hex1fc5e59900

136464144640 has 144 divisors (see below), whose sum is σ = 352849996800. Its totient is φ = 50411626496.

The previous prime is 136464144613. The next prime is 136464144667. The reversal of 136464144640 is 46441464631.

It is an interprime number because it is at equal distance from previous prime (136464144613) and next prime (136464144667).

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, 773841 + ... + 933679.

It is an arithmetic number, because the mean of its divisors is an integer number (2450347200).

Almost surely, 2136464144640 is an apocalyptic number.

136464144640 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 136464144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176424998400).

136464144640 is an abundant number, since it is smaller than the sum of its proper divisors (216385852160).

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

136464144640 is a wasteful number, since it uses less digits than its factorization.

136464144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159912 (or 159898 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 136464144640 in words is "one hundred thirty-six billion, four hundred sixty-four million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 580 640 667 736 920 928 1160 1280 1334 1472 1840 1856 2320 2668 2944 3335 3680 3712 4640 5336 5888 6670 7360 7424 9280 10672 13340 14720 18560 21344 26680 29440 37120 42688 53360 85376 106720 159839 170752 213440 319678 426880 639356 799195 853760 1278712 1598390 2557424 3196780 3676297 4635331 5114848 6393560 7352594 9270662 10229696 12787120 14705188 18381485 18541324 20459392 23176655 25574240 29410376 36762970 37082648 40918784 46353310 51148480 58820752 73525940 74165296 92706620 102296960 106612613 117641504 147051880 148330592 185413240 204593920 213225226 235283008 294103760 296661184 370826480 426450452 470566016 533063065 588207520 593322368 741652960 852900904 941132032 1066126130 1176415040 1186644736 1483305920 1705801808 2132252260 2352830080 2966611840 3411603616 4264504520 4705660160 5933223680 6823207232 8529009040 13646414464 17058018080 27292828928 34116036160 68232072320 136464144640