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135265300 = 22522322557
BaseRepresentation
bin10000000111111…
…11110000010100
3100102112012002221
420003333300110
5234111442200
621231112124
73231510322
oct1003776024
9312465087
10135265300
116a398905
1239372644
1322040251
1413d70d12
15bd1d91a
hex80ffc14

135265300 has 54 divisors (see below), whose sum is σ = 306962558. Its totient is φ = 51733440.

The previous prime is 135265297. The next prime is 135265327. The reversal of 135265300 is 3562531.

It is a happy number.

135265300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6170256 + 129095044 = 2484^2 + 11362^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

135265300 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51622 + ... + 54178.

Almost surely, 2135265300 is an apocalyptic number.

135265300 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 135265300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153481279).

135265300 is an abundant number, since it is smaller than the sum of its proper divisors (171697258).

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

135265300 is a wasteful number, since it uses less digits than its factorization.

135265300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135265300 is about 11630.3611293889. The cubic root of 135265300 is about 513.3286060546.

The spelling of 135265300 in words is "one hundred thirty-five million, two hundred sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2557 2645 5114 5290 10228 10580 12785 13225 25570 26450 51140 52900 58811 63925 117622 127850 235244 255700 294055 588110 1176220 1352653 1470275 2705306 2940550 5410612 5881100 6763265 13526530 27053060 33816325 67632650 135265300