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135424352 = 2575910247
BaseRepresentation
bin10000001001001…
…10100101100000
3100102211021021202
420010212211200
5234132034402
621234340332
73233042120
oct1004464540
9312737252
10135424352
116a497358
123942a6a8
132209776b
1413db2c80
15bd50b02
hex8126960

135424352 has 48 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 57049728.

The previous prime is 135424349. The next prime is 135424361. The reversal of 135424352 is 253424531.

It is a happy number.

135424352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1354243522 = 36679510229239808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8093 + ... + 18339.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2135424352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

135424352 is an abundant number, since it is smaller than the sum of its proper divisors (174475168).

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

135424352 is a wasteful number, since it uses less digits than its factorization.

135424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10315 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 135424352 is about 11637.1969133464. The cubic root of 135424352 is about 513.5297267686.

Adding to 135424352 its reverse (253424531), we get a palindrome (388848883).

The spelling of 135424352 in words is "one hundred thirty-five million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 10247 13216 20494 40988 71729 81976 143458 163952 286916 327904 573832 604573 1147664 1209146 2295328 2418292 4232011 4836584 8464022 9673168 16928044 19346336 33856088 67712176 135424352