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136501340346 = 2337678364937
BaseRepresentation
bin111111100100000011…
…1010010100010111010
3111001100000100112222000
41333020013102202322
54214023320342341
6142412521241430
712601426151250
oct1771007224272
9431300315860
10136501340346
11529874a2388
1222556033276
13cb44aa4797
14686cadc5d0
15383d9cb8b6
hex1fc81d28ba

136501340346 has 128 divisors (see below), whose sum is σ = 356088821760. Its totient is φ = 37954832256.

The previous prime is 136501340321. The next prime is 136501340347. The reversal of 136501340346 is 643043105631.

136501340346 is a `hidden beast` number, since 136 + 50 + 134 + 0 + 346 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136501340346.

It is not an unprimeable number, because it can be changed into a prime (136501340347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2069590 + ... + 2134526.

It is an arithmetic number, because the mean of its divisors is an integer number (2781943920).

Almost surely, 2136501340346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136501340346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178044410880).

136501340346 is an abundant number, since it is smaller than the sum of its proper divisors (219587481414).

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

136501340346 is a wasteful number, since it uses less digits than its factorization.

136501340346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65105 (or 65099 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 136501340346 its reverse (643043105631), we get a palindrome (779544445977).

The spelling of 136501340346 in words is "one hundred thirty-six billion, five hundred one million, three hundred forty thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 83 126 134 166 189 201 249 378 402 469 498 581 603 747 938 1162 1206 1407 1494 1743 1809 2241 2814 3486 3618 4221 4482 5229 5561 8442 10458 11122 12663 15687 16683 25326 31374 33366 38927 50049 64937 77854 100098 116781 129874 150147 194811 233562 300294 350343 389622 454559 584433 700686 909118 1051029 1168866 1363677 1753299 2102058 2727354 3506598 4091031 4350779 5389771 8182062 8701558 10779542 12273093 13052337 16169313 24546186 26104674 30455453 32338626 37728397 39157011 48507939 60910906 75456794 78314022 91366359 97015878 113185191 117471033 145523817 182732718 226370382 234942066 274099077 291047634 339555573 361114657 548198154 679111146 722229314 822297231 1018666719 1083343971 1644594462 2037333438 2166687942 2527802599 3250031913 5055605198 6500063826 7583407797 9750095739 15166815594 19500191478 22750223391 45500446782 68250670173 136501340346