Search a number
-
+
135736729 is a prime number
BaseRepresentation
bin10000001011100…
…10110110011001
3100110102010210021
420011302312121
5234222033404
621245150441
73235512622
oct1005626631
9313363707
10135736729
116a690017
123955b421
13221769bb
1414054a49
15bdb3454
hex8172d99

135736729 has 2 divisors, whose sum is σ = 135736730. Its totient is φ = 135736728.

The previous prime is 135736709. The next prime is 135736747. The reversal of 135736729 is 927637531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93161104 + 42575625 = 9652^2 + 6525^2 .

It is a cyclic number.

It is not a de Polignac number, because 135736729 - 221 = 133639577 is a prime.

It is not a weakly prime, because it can be changed into another prime (135736709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67868364 + 67868365.

It is an arithmetic number, because the mean of its divisors is an integer number (67868365).

Almost surely, 2135736729 is an apocalyptic number.

It is an amenable number.

135736729 is a deficient number, since it is larger than the sum of its proper divisors (1).

135736729 is an equidigital number, since it uses as much as digits as its factorization.

135736729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 238140, while the sum is 43.

The square root of 135736729 is about 11650.6106706902. The cubic root of 135736729 is about 513.9242685439.

It can be divided in two parts, 13573 and 6729, that added together give a palindrome (20302).

The spelling of 135736729 in words is "one hundred thirty-five million, seven hundred thirty-six thousand, seven hundred twenty-nine".