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136549314 = 234111937109
BaseRepresentation
bin10000010001110…
…01001111000010
3100111221102110000
420020321033002
5234424034224
621314420430
73245435646
oct1010711702
9314842400
10136549314
1170095580
1239891716
132239c815
14141c6c26
15bec40c9
hex82393c2

136549314 has 160 divisors (see below), whose sum is σ = 364161600. Its totient is φ = 37791360.

The previous prime is 136549307. The next prime is 136549331. The reversal of 136549314 is 413945631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1252692 + ... + 1252800.

It is an arithmetic number, because the mean of its divisors is an integer number (2276010).

Almost surely, 2136549314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136549314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182080800).

136549314 is an abundant number, since it is smaller than the sum of its proper divisors (227612286).

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

136549314 is a wasteful number, since it uses less digits than its factorization.

136549314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 136549314 is about 11685.4316993426. The cubic root of 136549314 is about 514.9477610632.

The spelling of 136549314 in words is "one hundred thirty-six million, five hundred forty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 37 38 54 57 66 74 81 99 109 111 114 162 171 198 209 218 222 297 327 333 342 407 418 513 594 627 654 666 703 814 891 981 999 1026 1199 1221 1254 1406 1539 1782 1881 1962 1998 2071 2109 2398 2442 2943 2997 3078 3597 3663 3762 4033 4142 4218 5643 5886 5994 6213 6327 7194 7326 7733 8066 8829 10791 10989 11286 12099 12426 12654 15466 16929 17658 18639 18981 21582 21978 22781 23199 24198 32373 32967 33858 36297 37278 37962 44363 45562 46398 55917 56943 64746 65934 68343 69597 72594 76627 88726 97119 108891 111834 113886 133089 136686 139194 153254 167751 194238 205029 208791 217782 229881 266178 326673 335502 399267 410058 417582 459762 615087 626373 653346 689643 798534 842897 1197801 1230174 1252746 1379286 1685794 1845261 2068929 2395602 2528691 3593403 3690522 4137858 5057382 6206787 7186806 7586073 12413574 15172146 22758219 45516438 68274657 136549314