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136072225 = 5223332
BaseRepresentation
bin10000001110001…
…00110000100001
3100111001012000001
420013010300201
5234313302400
621300300001
73241411012
oct1007046041
9314035001
10136072225
116a89a093
12396a1601
1322263613
1414101009
15be2ca6a
hex81c4c21

136072225 has 9 divisors (see below), whose sum is σ = 168801913. Its totient is φ = 108811120.

The previous prime is 136072213. The next prime is 136072229. The reversal of 136072225 is 522270631.

The square root of 136072225 is 11665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12061729 + 124010496 = 3473^2 + 11136^2 .

It is not a de Polignac number, because 136072225 - 25 = 136072193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 136072193 and 136072202.

It is not an unprimeable number, because it can be changed into a prime (136072229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57159 + ... + 59491.

Almost surely, 2136072225 is an apocalyptic number.

136072225 is the 11665-th square number.

136072225 is the 5833-rd centered octagonal number.

It is an amenable number.

136072225 is a deficient number, since it is larger than the sum of its proper divisors (32729688).

136072225 is an frugal number, since it uses more digits than its factorization.

136072225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The cubic root of 136072225 is about 514.3473367334.

The spelling of 136072225 in words is "one hundred thirty-six million, seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 2333 11665 58325 5442889 27214445 136072225