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135603342 = 23371979239
BaseRepresentation
bin10000001010100…
…10010010001110
3100110011100211000
420011102102032
5234203301332
621242241130
73234416010
oct1005222216
9313140730
10135603342
116a5a9886
12394b61a6
132212b084
141401c1b0
15bd88b7c
hex815248e

135603342 has 128 divisors (see below), whose sum is σ = 368640000. Its totient is φ = 36088416.

The previous prime is 135603341. The next prime is 135603371. The reversal of 135603342 is 243306531.

It is a happy number.

135603342 is a `hidden beast` number, since 13 + 5 + 603 + 3 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135603341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567259 + ... + 567497.

It is an arithmetic number, because the mean of its divisors is an integer number (2880000).

Almost surely, 2135603342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135603342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320000).

135603342 is an abundant number, since it is smaller than the sum of its proper divisors (233036658).

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

135603342 is a wasteful number, since it uses less digits than its factorization.

135603342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135603342 is about 11644.8847997737. The cubic root of 135603342 is about 513.7558707838.

Adding to 135603342 its reverse (243306531), we get a palindrome (378909873).

The spelling of 135603342 in words is "one hundred thirty-five million, six hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 79 114 126 133 158 171 189 237 239 266 342 378 399 474 478 513 553 711 717 798 1026 1106 1197 1422 1434 1501 1659 1673 2133 2151 2394 3002 3318 3346 3591 4266 4302 4503 4541 4977 5019 6453 7182 9006 9082 9954 10038 10507 12906 13509 13623 14931 15057 18881 21014 27018 27246 29862 30114 31521 31787 37762 40527 40869 45171 56643 63042 63574 81054 81738 90342 94563 95361 113286 122607 132167 169929 189126 190722 245214 264334 283689 286083 339858 358739 396501 509787 567378 572166 717478 793002 858249 1019574 1076217 1189503 1716498 2152434 2379006 2511173 3228651 3568509 5022346 6457302 7137018 7533519 9685953 15067038 19371906 22600557 45201114 67801671 135603342