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136634141364 = 223729166733647
BaseRepresentation
bin111111101000000000…
…1111000101010110100
3111001200021020112201020
41333100001320222310
54214311320010424
6142434023501140
712604631016240
oct1772001705264
9431607215636
10136634141364
1152a45457796
12225925b77b0
13cb66461176
1468825cb420
15384a4b0079
hex1fd0078ab4

136634141364 has 96 divisors (see below), whose sum is σ = 377159086080. Its totient is φ = 37668446592.

The previous prime is 136634141341. The next prime is 136634141401. The reversal of 136634141364 is 463141436631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 4043989 + ... + 4077635.

It is an arithmetic number, because the mean of its divisors is an integer number (3928740480).

Almost surely, 2136634141364 is an apocalyptic number.

136634141364 is a gapful number since it is divisible by the number (14) 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 136634141364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188579543040).

136634141364 is an abundant number, since it is smaller than the sum of its proper divisors (240524944716).

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

136634141364 is a wasteful number, since it uses less digits than its factorization.

136634141364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35357 (or 35355 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

Adding to 136634141364 its reverse (463141436631), we get a palindrome (599775577995).

The spelling of 136634141364 in words is "one hundred thirty-six billion, six hundred thirty-four million, one hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1667 2436 3334 5001 6668 10002 11669 20004 23338 33647 35007 46676 48343 67294 70014 96686 100941 134588 140028 145029 193372 201882 235529 290058 338401 403764 471058 580116 676802 706587 942116 975763 1015203 1353604 1413174 1951526 2030406 2826348 2927289 3903052 4060812 5854578 6830341 11709156 13660682 20491023 27321364 40982046 56089549 81964092 112179098 168268647 224358196 336537294 392626843 673074588 785253686 1177880529 1570507372 1626596921 2355761058 3253193842 4711522116 4879790763 6506387684 9759581526 11386178447 19519163052 22772356894 34158535341 45544713788 68317070682 136634141364