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136668528 = 243237113227
BaseRepresentation
bin10000010010101…
…10010101110000
3100112011110222100
420021112111300
5234441343103
621321140400
73246443343
oct1011262560
9315143870
10136668528
11701670a7
123992a700
1322411b69
141421845a
15bee95a3
hex8256570

136668528 has 120 divisors (see below), whose sum is σ = 398041488. Its totient is φ = 43739136.

The previous prime is 136668523. The next prime is 136668529. The reversal of 136668528 is 825866631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136668523) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 601951 + ... + 602177.

Almost surely, 2136668528 is an apocalyptic number.

136668528 is a gapful number since it is divisible by the number (18) 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 136668528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199020744).

136668528 is an abundant number, since it is smaller than the sum of its proper divisors (261372960).

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

136668528 is a wasteful number, since it uses less digits than its factorization.

136668528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 136668528 is about 11690.5315533555. The cubic root of 136668528 is about 515.0975753784.

The spelling of 136668528 in words is "one hundred thirty-six million, six hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 113 144 148 222 226 227 296 333 339 444 452 454 592 666 678 681 888 904 908 1017 1332 1356 1362 1776 1808 1816 2034 2043 2664 2712 2724 3632 4068 4086 4181 5328 5424 5448 8136 8172 8362 8399 10896 12543 16272 16344 16724 16798 25086 25197 25651 32688 33448 33596 37629 50172 50394 51302 66896 67192 75258 75591 76953 100344 100788 102604 134384 150516 151182 153906 200688 201576 205208 230859 301032 302364 307812 403152 410416 461718 602064 604728 615624 923436 949087 1209456 1231248 1846872 1898174 2847261 3693744 3796348 5694522 7592696 8541783 11389044 15185392 17083566 22778088 34167132 45556176 68334264 136668528