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136225008 = 24327312959
BaseRepresentation
bin10000001111010…
…10000011110000
3100111022221120200
420013222003300
5234333200013
621303435200
73242615313
oct1007520360
9314287520
10136225008
116a993957
1239755b00
13222b801a
141414097a
15be5ce73
hex81ea0f0

136225008 has 60 divisors (see below), whose sum is σ = 386493120. Its totient is φ = 44782848.

The previous prime is 136225007. The next prime is 136225013. The reversal of 136225008 is 800522631.

136225008 is a `hidden beast` number, since 136 + 22 + 500 + 8 = 666.

136225008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136225007) 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 11 ways as a sum of consecutive naturals, for example, 4033 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (6441552).

Almost surely, 2136225008 is an apocalyptic number.

136225008 is a gapful number since it is divisible by the number (18) 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 136225008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193246560).

136225008 is an abundant number, since it is smaller than the sum of its proper divisors (250268112).

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

136225008 is a wasteful number, since it uses less digits than its factorization.

136225008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136225008 is about 11671.5469411728. The cubic root of 136225008 is about 514.5397691863.

Adding to 136225008 its reverse (800522631), we get a palindrome (936747639).

The spelling of 136225008 in words is "one hundred thirty-six million, two hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 12959 25918 38877 51836 77754 103672 116631 155508 207344 233262 311016 466524 622032 933048 946007 1866096 1892014 2838021 3784028 5676042 7568056 8514063 11352084 15136112 17028126 22704168 34056252 45408336 68112504 136225008