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135543716 = 2271133637
BaseRepresentation
bin10000001010000…
…11101110100100
3100110001100000122
420011003232210
5234144344331
621241101112
73234050120
oct1005035644
9313040018
10135543716
116a569000
1239487798
1322109ba9
1414004580
15bd7617b
hex8143ba4

135543716 has 48 divisors (see below), whose sum is σ = 298257792. Its totient is φ = 52794720.

The previous prime is 135543619. The next prime is 135543719. The reversal of 135543716 is 617345531.

135543716 = T211 + T212 + ... + T936.

It is not an unprimeable number, because it can be changed into a prime (135543719) 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 15 ways as a sum of consecutive naturals, for example, 35450 + ... + 39086.

It is an arithmetic number, because the mean of its divisors is an integer number (6213704).

Almost surely, 2135543716 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 135543716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149128896).

135543716 is an abundant number, since it is smaller than the sum of its proper divisors (162714076).

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

135543716 is a wasteful number, since it uses less digits than its factorization.

135543716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3657 counting only the distinct ones).

The product of its digits is 37800, while the sum is 35.

The square root of 135543716 is about 11642.3243383785. The cubic root of 135543716 is about 513.6805587300.

The spelling of 135543716 in words is "one hundred thirty-five million, five hundred forty-three thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 3637 5324 7274 9317 14548 18634 25459 37268 40007 50918 80014 101836 160028 280049 440077 560098 880154 1120196 1760308 3080539 4840847 6161078 9681694 12322156 19363388 33885929 67771858 135543716