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135869058 = 232133111867
BaseRepresentation
bin10000001100100…
…11001010000010
3100110122212022100
420012103022002
5234240302213
621252051230
73236603463
oct1006231202
9313585270
10135869058
116a770486
1239603b16
13221c1cc0
141408ad6a
15bddc773
hex8193282

135869058 has 48 divisors (see below), whose sum is σ = 318217536. Its totient is φ = 41649120.

The previous prime is 135869033. The next prime is 135869113. The reversal of 135869058 is 850968531.

135869058 is a `hidden beast` number, since 13 + 586 + 9 + 0 + 58 = 666.

135869058 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71841 + ... + 73707.

It is an arithmetic number, because the mean of its divisors is an integer number (6629532).

Almost surely, 2135869058 is an apocalyptic number.

135869058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135869058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159108768).

135869058 is an abundant number, since it is smaller than the sum of its proper divisors (182348478).

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

135869058 is a wasteful number, since it uses less digits than its factorization.

135869058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135869058 is about 11656.2883457814. The cubic root of 135869058 is about 514.0912216280.

The spelling of 135869058 in words is "one hundred thirty-five million, eight hundred sixty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 311 622 933 1866 1867 2799 3734 4043 5598 5601 8086 11202 12129 16803 24258 24271 33606 36387 48542 72774 72813 145626 218439 436878 580637 1161274 1741911 3483822 5225733 7548281 10451466 15096562 22644843 45289686 67934529 135869058