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135014544 = 24327177879
BaseRepresentation
bin10000000110000…
…10100010010000
3100102001110010200
420003002202100
5234030431134
621221455200
73226414260
oct1003024220
9312043120
10135014544
116a237475
1239271500
1321c83082
1413d077a0
15bcbe499
hex80c2890

135014544 has 120 divisors (see below), whose sum is σ = 457292160. Its totient is φ = 36301824.

The previous prime is 135014521. The next prime is 135014549. The reversal of 135014544 is 445410531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135014549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13197 + ... + 21075.

It is an arithmetic number, because the mean of its divisors is an integer number (3810768).

Almost surely, 2135014544 is an apocalyptic number.

135014544 is a gapful number since it is divisible by the number (14) 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 135014544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228646080).

135014544 is an abundant number, since it is smaller than the sum of its proper divisors (322277616).

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

135014544 is a wasteful number, since it uses less digits than its factorization.

135014544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 135014544 is about 11619.5758958750. The cubic root of 135014544 is about 513.0112054824.

The spelling of 135014544 in words is "one hundred thirty-five million, fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 7879 8568 15758 17136 23637 31516 47274 55153 63032 70911 94548 110306 126064 133943 141822 165459 189096 220612 267886 283644 330918 378192 401829 441224 496377 535772 567288 661836 803658 882448 937601 992754 1071544 1134576 1205487 1323672 1607316 1875202 1985508 2143088 2410974 2647344 2812803 3214632 3750404 3971016 4821948 5625606 6429264 7500808 7942032 8438409 9643896 11251212 15001616 16876818 19287792 22502424 33753636 45004848 67507272 135014544