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134918784 = 2734711132
BaseRepresentation
bin10000000101010…
…11001010000000
3100101212120210000
420002223022000
5234014400114
621215440000
73225535140
oct1002531200
9311776700
10134918784
116a181530
1239226000
1321c4b600
1413cc0920
15bca0e09
hex80ab280

134918784 has 480 divisors, whose sum is σ = 542060640. Its totient is φ = 32348160.

The previous prime is 134918779. The next prime is 134918803. The reversal of 134918784 is 487819431.

It is a happy number.

134918784 is a `hidden beast` number, since 1 + 3 + 491 + 87 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10378362 + ... + 10378374.

It is an arithmetic number, because the mean of its divisors is an integer number (1129293).

Almost surely, 2134918784 is an apocalyptic number.

134918784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134918784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271030320).

134918784 is an abundant number, since it is smaller than the sum of its proper divisors (407141856).

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

134918784 is a wasteful number, since it uses less digits than its factorization.

134918784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 134918784 is about 11615.4545326474. The cubic root of 134918784 is about 512.8898912139.

The spelling of 134918784 in words is "one hundred thirty-four million, nine hundred eighteen thousand, seven hundred eighty-four".