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135263625 = 35372272
BaseRepresentation
bin10000000111111…
…11010110001001
3100102112002210220
420003333112021
5234111414000
621231100253
73231502410
oct1003772611
9312462726
10135263625
116a397622
1239371689
132203c563
1413d70477
15bd1d1a0
hex80ff589

135263625 has 48 divisors (see below), whose sum is σ = 258370944. Its totient is φ = 61562400.

The previous prime is 135263593. The next prime is 135263629. The reversal of 135263625 is 526362531.

135263625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135263625 - 25 = 135263593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135263629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595762 + ... + 595988.

It is an arithmetic number, because the mean of its divisors is an integer number (5382728).

Almost surely, 2135263625 is an apocalyptic number.

135263625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135263625 is a deficient number, since it is larger than the sum of its proper divisors (123107319).

135263625 is an frugal number, since it uses more digits than its factorization.

135263625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 242 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 135263625 is about 11630.2891193641. The cubic root of 135263625 is about 513.3264871840.

The spelling of 135263625 in words is "one hundred thirty-five million, two hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 227 375 525 681 875 1135 1589 2625 3405 4767 5675 7945 17025 23835 28375 39725 51529 85125 119175 154587 198625 257645 360703 595875 772935 1082109 1288225 1803515 3864675 5410545 6441125 9017575 19323375 27052725 45087875 135263625