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135205434 = 232713197419
BaseRepresentation
bin10000000111100…
…01001000111010
3100102102010222200
420003301020322
5234103033214
621225531030
73231140640
oct1003611072
9312363880
10135205434
116a357931
1239343a76
132201bc20
1413d57190
15bd0ad09
hex80f123a

135205434 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 35392896.

The previous prime is 135205429. The next prime is 135205451. The reversal of 135205434 is 434502531.

It is a junction number, because it is equal to n+sod(n) for n = 135205398 and 135205407.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 322477 + ... + 322895.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2135205434 is an apocalyptic number.

135205434 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 135205434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

135205434 is an abundant number, since it is smaller than the sum of its proper divisors (228037446).

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

135205434 is a wasteful number, since it uses less digits than its factorization.

135205434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

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

The square root of 135205434 is about 11627.7871497547. The cubic root of 135205434 is about 513.2528648627.

Adding to 135205434 its reverse (434502531), we get a palindrome (569707965).

The spelling of 135205434 in words is "one hundred thirty-five million, two hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 197 234 273 394 419 546 591 819 838 1182 1257 1379 1638 1773 2514 2561 2758 2933 3546 3771 4137 5122 5447 5866 7542 7683 8274 8799 10894 12411 15366 16341 17598 17927 23049 24822 26397 32682 35854 38129 46098 49023 52794 53781 76258 82543 98046 107562 114387 161343 165086 228774 247629 322686 343161 495258 577801 686322 742887 1073059 1155602 1485774 1733403 2146118 3219177 3466806 5200209 6438354 7511413 9657531 10400418 15022826 19315062 22534239 45068478 67602717 135205434