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136252512 = 253211411049
BaseRepresentation
bin10000001111100…
…00110001100000
3100111101100022100
420013300301200
5234340040022
621304210400
73243061434
oct1007606140
9314340270
10136252512
116aa02590
1239769a00
13222c76b6
141414a9c4
15be661ac
hex81f0c60

136252512 has 144 divisors (see below), whose sum is σ = 433414800. Its totient is φ = 40243200.

The previous prime is 136252511. The next prime is 136252531. The reversal of 136252512 is 215252631.

It is a happy number.

136252512 is a `hidden beast` number, since 1 + 3 + 625 + 25 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136252511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129364 + ... + 130412.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2136252512 is an apocalyptic number.

136252512 is a gapful number since it is divisible by the number (12) 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 136252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216707400).

136252512 is an abundant number, since it is smaller than the sum of its proper divisors (297162288).

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

136252512 is a wasteful number, since it uses less digits than its factorization.

136252512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 136252512 is about 11672.7251316905. The cubic root of 136252512 is about 514.5743955977.

The spelling of 136252512 in words is "one hundred thirty-six million, two hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1049 1056 1312 1353 1476 1584 1804 1968 2098 2706 2952 3147 3168 3608 3936 4059 4196 5412 5904 6294 7216 8118 8392 9441 10824 11539 11808 12588 14432 16236 16784 18882 21648 23078 25176 32472 33568 34617 37764 43009 43296 46156 50352 64944 69234 75528 86018 92312 100704 103851 129027 129888 138468 151056 172036 184624 207702 258054 276936 302112 344072 369248 387081 415404 473099 516108 553872 688144 774162 830808 946198 1032216 1107744 1376288 1419297 1548324 1661616 1892396 2064432 2838594 3096648 3323232 3784792 4128864 4257891 5677188 6193296 7569584 8515782 11354376 12386592 15139168 17031564 22708752 34063128 45417504 68126256 136252512