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135425620 = 225112107523
BaseRepresentation
bin10000001001001…
…10111001010100
3100102211100000201
420010212321110
5234132104440
621234350244
73233045611
oct1004467124
9312740021
10135425620
116a498300
123942b384
1322098205
1413db3508
15bd5119a
hex8126e54

135425620 has 72 divisors (see below), whose sum is σ = 316122912. Its totient is φ = 48692160.

The previous prime is 135425603. The next prime is 135425623. The reversal of 135425620 is 26524531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135425623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258679 + ... + 259201.

It is an arithmetic number, because the mean of its divisors is an integer number (4390596).

Almost surely, 2135425620 is an apocalyptic number.

135425620 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 135425620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158061456).

135425620 is an abundant number, since it is smaller than the sum of its proper divisors (180697292).

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

135425620 is a wasteful number, since it uses less digits than its factorization.

135425620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 135425620 is about 11637.2513936926. The cubic root of 135425620 is about 513.5313295174.

The spelling of 135425620 in words is "one hundred thirty-five million, four hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 121 214 220 242 428 484 523 535 605 1046 1070 1177 1210 2092 2140 2354 2420 2615 4708 5230 5753 5885 10460 11506 11770 12947 23012 23540 25894 28765 51788 55961 57530 63283 64735 111922 115060 126566 129470 223844 253132 258940 279805 316415 559610 615571 632830 1119220 1231142 1265660 2462284 3077855 6155710 6771281 12311420 13542562 27085124 33856405 67712810 135425620