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135054234 = 23277314683
BaseRepresentation
bin10000000110011…
…00001110011010
3100102010110120200
420003030032122
5234033213414
621222403030
73226641060
oct1003141632
9312113520
10135054234
116a264277
1239290476
1321c98163
1413d18030
15bccb109
hex80cc39a

135054234 has 48 divisors (see below), whose sum is σ = 339024192. Its totient is φ = 38055744.

The previous prime is 135054233. The next prime is 135054251. The reversal of 135054234 is 432450531.

It is a super-2 number, since 2×1350542342 = 36479292242653512, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135054198 and 135054207.

It is not an unprimeable number, because it can be changed into a prime (135054233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (7063004).

Almost surely, 2135054234 is an apocalyptic number.

135054234 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 135054234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169512096).

135054234 is an abundant number, since it is smaller than the sum of its proper divisors (203969958).

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

135054234 is a wasteful number, since it uses less digits than its factorization.

135054234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135054234 is about 11621.2836640364. The cubic root of 135054234 is about 513.0614702397.

The spelling of 135054234 in words is "one hundred thirty-five million, fifty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 4599 9198 14683 29366 44049 88098 102781 132147 205562 264294 308343 616686 925029 1071859 1850058 2143718 3215577 6431154 7503013 9646731 15006026 19293462 22509039 45018078 67527117 135054234