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145137294529 is a prime number
BaseRepresentation
bin1000011100101011011…
…0110101110011000001
3111212121212102110222221
42013022312311303001
54334220121411104
6150401455531041
713325431435243
oct2071266656301
9455555373887
10145137294529
11566092455a7
1224166229a81
13108bccc1646
14704ba2c093
153b96c47c54
hex21cadb5cc1

145137294529 has 2 divisors, whose sum is σ = 145137294530. Its totient is φ = 145137294528.

The previous prime is 145137294509. The next prime is 145137294539. The reversal of 145137294529 is 925492731541.

145137294529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144350604225 + 786690304 = 379935^2 + 28048^2 .

It is a cyclic number.

It is not a de Polignac number, because 145137294529 - 213 = 145137286337 is a prime.

It is not a weakly prime, because it can be changed into another prime (145137294509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72568647264 + 72568647265.

It is an arithmetic number, because the mean of its divisors is an integer number (72568647265).

Almost surely, 2145137294529 is an apocalyptic number.

It is an amenable number.

145137294529 is a deficient number, since it is larger than the sum of its proper divisors (1).

145137294529 is an equidigital number, since it uses as much as digits as its factorization.

145137294529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2721600, while the sum is 52.

The spelling of 145137294529 in words is "one hundred forty-five billion, one hundred thirty-seven million, two hundred ninety-four thousand, five hundred twenty-nine".