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135443232 = 2533592657
BaseRepresentation
bin10000001001010…
…11001100100000
3100102212020012000
420010223030200
5234133140412
621235004000
73233151141
oct1004531440
9312766160
10135443232
116a4aa561
1239439600
13220a3232
1413db9ac8
15bd564dc
hex812b320

135443232 has 96 divisors (see below), whose sum is σ = 401889600. Its totient is φ = 44365824.

The previous prime is 135443227. The next prime is 135443239. The reversal of 135443232 is 232344531.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 135443196 and 135443205.

It is not an unprimeable number, because it can be changed into a prime (135443239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49648 + ... + 52304.

It is an arithmetic number, because the mean of its divisors is an integer number (4186350).

Almost surely, 2135443232 is an apocalyptic number.

135443232 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 135443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200944800).

135443232 is an abundant number, since it is smaller than the sum of its proper divisors (266446368).

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

135443232 is a wasteful number, since it uses less digits than its factorization.

135443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2721 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 135443232 is about 11638.0080769864. The cubic root of 135443232 is about 513.5535900068.

Adding to 135443232 its reverse (232344531), we get a palindrome (367787763).

The spelling of 135443232 in words is "one hundred thirty-five million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2657 2832 3186 4248 5314 5664 6372 7971 8496 10628 12744 15942 16992 21256 23913 25488 31884 42512 47826 50976 63768 71739 85024 95652 127536 143478 156763 191304 255072 286956 313526 382608 470289 573912 627052 765216 940578 1147824 1254104 1410867 1881156 2295648 2508208 2821734 3762312 4232601 5016416 5643468 7524624 8465202 11286936 15049248 16930404 22573872 33860808 45147744 67721616 135443232