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135000008 = 231113199593
BaseRepresentation
bin10000000101111…
…10111111001000
3100102000201012022
420002332333020
5234030000013
621221304012
73226324013
oct1002767710
9312021168
10135000008
116a227560
1239265008
1321c79580
1413d0237a
15bcba008
hex80befc8

135000008 has 64 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 56263680.

The previous prime is 135000007. The next prime is 135000011. The reversal of 135000008 is 800000531.

135000008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135000008.

It is not an unprimeable number, because it can be changed into a prime (135000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227360 + ... + 227952.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2135000008 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 135000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

135000008 is an abundant number, since it is smaller than the sum of its proper divisors (164375992).

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

135000008 is a wasteful number, since it uses less digits than its factorization.

135000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 135000008 is about 11618.9503828874. The cubic root of 135000008 is about 512.9927941362.

Adding to 135000008 its reverse (800000531), we get a palindrome (935000539).

The spelling of 135000008 in words is "one hundred thirty-five million, eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 199 286 398 572 593 796 1144 1186 1592 2189 2372 2587 4378 4744 5174 6523 7709 8756 10348 13046 15418 17512 20696 26092 28457 30836 52184 56914 61672 84799 113828 118007 169598 227656 236014 339196 472028 678392 944056 1298077 1534091 2596154 3068182 5192308 6136364 10384616 12272728 16875001 33750002 67500004 135000008