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135041608 = 23131724493
BaseRepresentation
bin10000000110010…
…01001001001000
3100102002211021001
420003021021020
5234032312413
621222224344
73226556212
oct1003111110
9312084231
10135041608
116a255839
12392850b4
1321c924a0
1413d135b2
15bcc74dd
hex80c9248

135041608 has 48 divisors (see below), whose sum is σ = 289728180. Its totient is φ = 58647552.

The previous prime is 135041593. The next prime is 135041609. The reversal of 135041608 is 806140531.

It can be written as a sum of positive squares in 6 ways, for example, as 121484484 + 13557124 = 11022^2 + 3682^2 .

It is not an unprimeable number, because it can be changed into a prime (135041609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27810 + ... + 32302.

Almost surely, 2135041608 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 135041608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144864090).

135041608 is an abundant number, since it is smaller than the sum of its proper divisors (154686572).

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

135041608 is a wasteful number, since it uses less digits than its factorization.

135041608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 135041608 is about 11620.7404239145. The cubic root of 135041608 is about 513.0454813148.

The spelling of 135041608 in words is "one hundred thirty-five million, forty-one thousand, six hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 4493 7514 8986 15028 17972 30056 35944 58409 76381 116818 152762 233636 305524 467272 611048 992953 1298477 1985906 2596954 3971812 5193908 7943624 10387816 16880201 33760402 67520804 135041608