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135334420 = 225132292273
BaseRepresentation
bin10000001000100…
…00101000010100
3100102122200220221
420010100220110
5234121200140
621232404124
73232215664
oct1004205024
9312580827
10135334420
116a435831
12393a6644
1322065850
1413d8c1a4
15bd3414a
hex8110a14

135334420 has 48 divisors (see below), whose sum is σ = 307535760. Its totient is φ = 49729536.

The previous prime is 135334411. The next prime is 135334427. The reversal of 135334420 is 24433531.

It can be written as a sum of positive squares in 8 ways, for example, as 6330256 + 129004164 = 2516^2 + 11358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135334427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58404 + ... + 60676.

It is an arithmetic number, because the mean of its divisors is an integer number (6406995).

Almost surely, 2135334420 is an apocalyptic number.

135334420 is a gapful number since it is divisible by the number (10) 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 135334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153767880).

135334420 is an abundant number, since it is smaller than the sum of its proper divisors (172201340).

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

135334420 is a wasteful number, since it uses less digits than its factorization.

135334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 135334420 is about 11633.3322827125. The cubic root of 135334420 is about 513.4160274193.

Adding to 135334420 its reverse (24433531), we get a palindrome (159767951).

The spelling of 135334420 in words is "one hundred thirty-five million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2273 2290 2977 4546 4580 5954 9092 11365 11908 14885 22730 29549 29770 45460 59098 59540 118196 147745 295490 520517 590980 1041034 2082068 2602585 5205170 6766721 10410340 13533442 27066884 33833605 67667210 135334420