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135124528 = 24711671637
BaseRepresentation
bin10000000110111…
…01011000110000
3100102021001000011
420003131120300
5234042441103
621224104304
73230353030
oct1003353060
9312231004
10135124528
116a302070
1239305094
1321cc1156
1413d358c0
15bce1d6d
hex80dd630

135124528 has 80 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 51828480.

The previous prime is 135124501. The next prime is 135124537. The reversal of 135124528 is 825421531.

It is a self number, because there is not a number n which added to its sum of digits gives 135124528.

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 15 ways as a sum of consecutive naturals, for example, 81726 + ... + 83362.

Almost surely, 2135124528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135124528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

135124528 is an abundant number, since it is smaller than the sum of its proper divisors (196354256).

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

135124528 is a wasteful number, since it uses less digits than its factorization.

135124528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 135124528 is about 11624.3076352960. The cubic root of 135124528 is about 513.1504687765.

The spelling of 135124528 in words is "one hundred thirty-five million, one hundred twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 67 77 88 112 134 154 176 268 308 469 536 616 737 938 1072 1232 1474 1637 1876 2948 3274 3752 5159 5896 6548 7504 10318 11459 11792 13096 18007 20636 22918 26192 36014 41272 45836 72028 82544 91672 109679 126049 144056 183344 219358 252098 288112 438716 504196 767753 877432 1008392 1206469 1535506 1754864 2016784 2412938 3071012 4825876 6142024 8445283 9651752 12284048 16890566 19303504 33781132 67562264 135124528