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135258016 = 2541103093
BaseRepresentation
bin10000000111111…
…01111110100000
3100102111211010011
420003331332200
5234111224031
621231014304
73231450145
oct1003757640
9312454104
10135258016
116a393393
123936a394
1322039b3a
1413d6c3cc
15bd1b6b1
hex80fdfa0

135258016 has 24 divisors (see below), whose sum is σ = 272786724. Its totient is φ = 65978880.

The previous prime is 135257999. The next prime is 135258037. The reversal of 135258016 is 610852531.

135258016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 124992400 + 10265616 = 11180^2 + 3204^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50235 + ... + 52858.

Almost surely, 2135258016 is an apocalyptic number.

135258016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135258016 is an abundant number, since it is smaller than the sum of its proper divisors (137528708).

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

135258016 is a wasteful number, since it uses less digits than its factorization.

135258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103144 (or 103136 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 135258016 is about 11630.0479792647. The cubic root of 135258016 is about 513.3193916867.

The spelling of 135258016 in words is "one hundred thirty-five million, two hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 103093 206186 412372 824744 1649488 3298976 4226813 8453626 16907252 33814504 67629008 135258016