135135251 has 2 divisors, whose sum is σ = 135135252. Its totient is φ = 135135250.

The previous prime is 135135233. The next prime is 135135263. The reversal of 135135251 is 152531531.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 135135251 - 2¹⁰ = 135134227 is a prime.

It is a super-3 number, since 3×135135251³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135135251.

It is not a weakly prime, because it can be changed into another prime (135135271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67567625 + 67567626.

It is an arithmetic number, because the mean of its divisors is an integer number (67567626).

Almost surely, 2^135135251 is an apocalyptic number.

135135251 is a deficient number, since it is larger than the sum of its proper divisors (1).

135135251 is an equidigital number, since it uses as much as digits as its factorization.

135135251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2250, while the sum is 26.

The square root of 135135251 is about 11624.7688579171. The cubic root of 135135251 is about 513.1640423470.

Adding to 135135251 its reverse (152531531), we get a palindrome (287666782).

The spelling of 135135251 in words is "one hundred thirty-five million, one hundred thirty-five thousand, two hundred fifty-one".