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135871736 = 237111319247
BaseRepresentation
bin10000001100100…
…11110011111000
3100110122222222112
420012103303320
5234240343421
621252111452
73236614340
oct1006236370
9313588875
10135871736
116a7724a0
1239605588
13221c32a0
141408bd20
15bddd45b
hex8193cf8

135871736 has 192 divisors, whose sum is σ = 368686080. Its totient is φ = 45308160.

The previous prime is 135871727. The next prime is 135871781. The reversal of 135871736 is 637178531.

It is a super-2 number, since 2×1358717362 = 36922257287307392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135871693 and 135871702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2890865 + ... + 2890911.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2135871736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135871736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

135871736 is an abundant number, since it is smaller than the sum of its proper divisors (232814344).

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

135871736 is a wasteful number, since it uses less digits than its factorization.

135871736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 135871736 is about 11656.4032188321. The cubic root of 135871736 is about 514.0945992114.

The spelling of 135871736 in words is "one hundred thirty-five million, eight hundred seventy-one thousand, seven hundred thirty-six".