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135232442352 = 24337157284839
BaseRepresentation
bin111110111110001111…
…0110100111111110000
3110221001120200212011000
41331330132310333300
54203424001123402
6142042552322000
712525120536220
oct1757436647760
9427046625130
10135232442352
1152396208557
12222610a3300
13c9a1c39277
14678c396080
1537b73d1c1c
hex1f7c7b4ff0

135232442352 has 160 divisors (see below), whose sum is σ = 446446822400. Its totient is φ = 38391604992.

The previous prime is 135232442347. The next prime is 135232442353. The reversal of 135232442352 is 253244232531.

135232442352 is a `hidden beast` number, since 1 + 35 + 232 + 4 + 42 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135232442353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332349 + ... + 617187.

It is an arithmetic number, because the mean of its divisors is an integer number (2790292640).

Almost surely, 2135232442352 is an apocalyptic number.

135232442352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135232442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223223411200).

135232442352 is an abundant number, since it is smaller than the sum of its proper divisors (311214380048).

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

135232442352 is a wasteful number, since it uses less digits than its factorization.

135232442352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285020 (or 285008 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 135232442352 its reverse (253244232531), we get a palindrome (388476674883).

The spelling of 135232442352 in words is "one hundred thirty-five billion, two hundred thirty-two million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 157 168 189 216 252 314 336 378 432 471 504 628 756 942 1008 1099 1256 1413 1512 1884 2198 2512 2826 3024 3297 3768 4239 4396 5652 6594 7536 8478 8792 9891 11304 13188 16956 17584 19782 22608 26376 29673 33912 39564 52752 59346 67824 79128 118692 158256 237384 284839 474768 569678 854517 1139356 1709034 1993873 2278712 2563551 3418068 3987746 4557424 5127102 5981619 6836136 7690653 7975492 10254204 11963238 13672272 15381306 15950984 17944857 20508408 23926476 30762612 31901968 35889714 41016816 44719723 47852952 53834571 61525224 71779428 89439446 95705904 107669142 123050448 134159169 143558856 178878892 215338284 268318338 287117712 313038061 357757784 402477507 430676568 536636676 626076122 715515568 804955014 861353136 939114183 1073273352 1207432521 1252152244 1609910028 1878228366 2146546704 2414865042 2504304488 2817342549 3219820056 3756456732 4829730084 5008608976 5634685098 6439640112 7512913464 8452027647 9659460168 11269370196 15025826928 16904055294 19318920336 22538740392 33808110588 45077480784 67616221176 135232442352