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135318834 = 232710710037
BaseRepresentation
bin10000001000011…
…00110100110010
3100102121220112200
420010030310302
5234120200314
621232204030
73232122360
oct1004146462
9312556480
10135318834
116a425052
1239399616
132205b721
1413d86630
15bd2e709
hex810cd32

135318834 has 48 divisors (see below), whose sum is σ = 338240448. Its totient is φ = 38297376.

The previous prime is 135318823. The next prime is 135318839. The reversal of 135318834 is 438813531.

135318834 is a `hidden beast` number, since 13 + 531 + 88 + 34 = 666.

135318834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1353188342 = 36622373670239112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135318839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8464 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (7046676).

Almost surely, 2135318834 is an apocalyptic number.

135318834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135318834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169120224).

135318834 is an abundant number, since it is smaller than the sum of its proper divisors (202921614).

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

135318834 is a wasteful number, since it uses less digits than its factorization.

135318834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10156 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135318834 is about 11632.6623779769. The cubic root of 135318834 is about 513.3963172095.

The spelling of 135318834 in words is "one hundred thirty-five million, three hundred eighteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 10037 13482 20074 30111 60222 70259 90333 140518 180666 210777 421554 632331 1073959 1264662 2147918 3221877 6443754 7517713 9665631 15035426 19331262 22553139 45106278 67659417 135318834