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135051354 = 23319235997
BaseRepresentation
bin10000000110010…
…11100001011010
3100102010022122000
420003023201122
5234033120404
621222341430
73226626504
oct1003134132
9312108560
10135051354
116a262099
123928a876
1321c96a59
1413d16d74
15bcca339
hex80cb85a

135051354 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 39688704.

The previous prime is 135051353. The next prime is 135051361. The reversal of 135051354 is 453150531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135051353) 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 63 ways as a sum of consecutive naturals, for example, 1392234 + ... + 1392330.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2135051354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135051354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

135051354 is an abundant number, since it is smaller than the sum of its proper divisors (203636646).

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

135051354 is a wasteful number, since it uses less digits than its factorization.

135051354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135051354 is about 11621.1597527958. The cubic root of 135051354 is about 513.0578232417.

The spelling of 135051354 in words is "one hundred thirty-five million, fifty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 59 69 97 114 118 138 171 177 194 207 291 342 354 414 437 513 531 582 621 873 874 1026 1062 1121 1242 1311 1357 1593 1746 1843 2231 2242 2619 2622 2714 3186 3363 3686 3933 4071 4462 5238 5529 5723 6693 6726 7866 8142 10089 11058 11446 11799 12213 13386 16587 17169 20079 20178 23598 24426 25783 30267 33174 34338 36639 40158 42389 49761 51507 51566 60237 60534 73278 77349 84778 99522 103014 108737 120474 127167 131629 154521 154698 217474 232047 254334 263258 309042 326211 381501 394887 464094 652422 696141 763002 789774 978633 1144503 1184661 1392282 1957266 2289006 2369322 2500951 2935899 3553983 5001902 5871798 7107966 7502853 15005706 22508559 45017118 67525677 135051354