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135885825 = 3252603937
BaseRepresentation
bin10000001100101…
…11010000000001
3100110200201022100
420012113100001
5234241321300
621252301013
73240003405
oct1006272001
9313621270
10135885825
116a782039
1239611769
13221c981a
1414093105
15bde2700
hex8197401

135885825 has 18 divisors (see below), whose sum is σ = 243387014. Its totient is φ = 72472320.

The previous prime is 135885821. The next prime is 135885829. The reversal of 135885825 is 528588531.

135885825 is a `hidden beast` number, since 13 + 58 + 8 + 582 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (135885821) and next prime (135885829).

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 135699201 = 432^2 + 11649^2 .

It is not a de Polignac number, because 135885825 - 22 = 135885821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135885821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 301744 + ... + 302193.

Almost surely, 2135885825 is an apocalyptic number.

135885825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135885825 is a deficient number, since it is larger than the sum of its proper divisors (107501189).

135885825 is a wasteful number, since it uses less digits than its factorization.

135885825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603953 (or 603945 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 135885825 is about 11657.0075491097. The cubic root of 135885825 is about 514.1123680000.

The spelling of 135885825 in words is "one hundred thirty-five million, eight hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 603937 1811811 3019685 5435433 9059055 15098425 27177165 45295275 135885825