Search a number
-
+
136565165148 = 223232311016871
BaseRepresentation
bin111111100101111101…
…0110000110001011100
3111001111110110012010120
41333023322300301130
54214141140241043
6142423121234540
712603132515346
oct1771372606134
9431443405116
10136565165148
1152a0a525955
1222573492a50
13cb55090639
146877394296
1538443d7983
hex1fcbeb0c5c

136565165148 has 144 divisors (see below), whose sum is σ = 347309340672. Its totient is φ = 41714640000.

The previous prime is 136565165101. The next prime is 136565165159. The reversal of 136565165148 is 841561565631.

It is a self number, because there is not a number n which added to its sum of digits gives 136565165148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19872153 + ... + 19879023.

Almost surely, 2136565165148 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 136565165148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173654670336).

136565165148 is an abundant number, since it is smaller than the sum of its proper divisors (210744175524).

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

136565165148 is a wasteful number, since it uses less digits than its factorization.

136565165148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7031 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The spelling of 136565165148 in words is "one hundred thirty-six billion, five hundred sixty-five million, one hundred sixty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 101 124 138 186 202 276 303 372 404 529 606 713 1058 1212 1426 1587 2116 2139 2323 2852 3131 3174 4278 4646 6262 6348 6871 6969 8556 9292 9393 12524 13742 13938 16399 18786 20613 27484 27876 32798 37572 41226 49197 53429 65596 72013 82452 98394 106858 144026 158033 160287 196788 213001 213716 216039 288052 316066 320574 426002 432078 474099 632132 639003 641148 693971 852004 864156 948198 1278006 1387942 1656299 1896396 2081913 2556012 2775884 3312598 3634759 4163826 4899023 4968897 6625196 7269518 8327652 9798046 9937794 10904277 14539036 14697069 15961333 19596092 19875588 21513101 21808554 29394138 31922666 43026202 43617108 47883999 58788276 63845332 64539303 86052404 95767998 112677529 129078606 191535996 225355058 258157212 338032587 367110659 450710116 494801323 676065174 734221318 989602646 1101331977 1352130348 1468442636 1484403969 1979205292 2202663954 2968807938 4405327908 5937615876 11380430429 22760860858 34141291287 45521721716 68282582574 136565165148