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135924075 = 3452743223
BaseRepresentation
bin10000001101000…
…00100101101011
3100110202122210000
420012200211223
5234244032300
621253154043
73240223050
oct1006404553
9313678700
10135924075
116a7a8851
123962b923
1322211061
14140a3027
15bdedc00
hex81a096b

135924075 has 120 divisors (see below), whose sum is σ = 295758848. Its totient is φ = 60419520.

The previous prime is 135924067. The next prime is 135924077. The reversal of 135924075 is 570429531.

It is not a de Polignac number, because 135924075 - 23 = 135924067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135924077) 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 119 ways as a sum of consecutive naturals, for example, 609414 + ... + 609636.

Almost surely, 2135924075 is an apocalyptic number.

135924075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135924075 is an abundant number, since it is smaller than the sum of its proper divisors (159834773).

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

135924075 is a wasteful number, since it uses less digits than its factorization.

135924075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135924075 is about 11658.6480777147. The cubic root of 135924075 is about 514.1606020064.

The spelling of 135924075 in words is "one hundred thirty-five million, nine hundred twenty-four thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 63 75 81 105 129 135 175 189 215 223 225 301 315 387 405 525 567 645 669 675 903 945 1075 1115 1161 1505 1561 1575 1935 2007 2025 2709 2835 3225 3345 3483 4515 4683 4725 5575 5805 6021 7525 7805 8127 9589 9675 10035 13545 14049 14175 16725 17415 18063 22575 23415 24381 28767 29025 30105 39025 40635 42147 47945 50175 67123 67725 70245 86301 87075 90315 117075 121905 126441 143835 150525 201369 203175 210735 239725 258903 335615 351225 431505 451575 604107 609525 632205 719175 776709 1006845 1053675 1294515 1678075 1812321 2157525 3020535 3161025 3883545 5034225 5436963 6472575 9061605 15102675 19417725 27184815 45308025 135924075