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135388350 = 2325223103127
BaseRepresentation
bin10000001000111…
…01110010111110
3100102202102220100
420010131302332
5234124411400
621233501530
73232532136
oct1004356276
9312672810
10135388350
116a4722a9
12394118a6
1322084266
1413da3ac6
15bd45100
hex811dcbe

135388350 has 144 divisors (see below), whose sum is σ = 386260992. Its totient is φ = 33929280.

The previous prime is 135388349. The next prime is 135388367. The reversal of 135388350 is 53883531.

135388350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1065987 + ... + 1066113.

It is an arithmetic number, because the mean of its divisors is an integer number (2682368).

Almost surely, 2135388350 is an apocalyptic number.

135388350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135388350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193130496).

135388350 is an abundant number, since it is smaller than the sum of its proper divisors (250872642).

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

135388350 is a wasteful number, since it uses less digits than its factorization.

135388350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135388350 is about 11635.6499603589. The cubic root of 135388350 is about 513.4842161556.

The spelling of 135388350 in words is "one hundred thirty-five million, three hundred eighty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 103 115 127 138 150 206 207 225 230 254 309 345 381 414 450 515 575 618 635 690 762 927 1030 1035 1143 1150 1270 1545 1725 1854 1905 2070 2286 2369 2575 2921 3090 3175 3450 3810 4635 4738 5150 5175 5715 5842 6350 7107 7725 8763 9270 9525 10350 11430 11845 13081 14214 14605 15450 17526 19050 21321 23175 23690 26162 26289 28575 29210 35535 39243 42642 43815 46350 52578 57150 59225 65405 71070 73025 78486 87630 106605 117729 118450 130810 131445 146050 177675 196215 213210 219075 235458 262890 300863 327025 355350 392430 438150 533025 588645 601726 654050 657225 902589 981075 1066050 1177290 1314450 1504315 1805178 1962150 2707767 2943225 3008630 4512945 5415534 5886450 7521575 9025890 13538835 15043150 22564725 27077670 45129450 67694175 135388350