135135037 has 2 divisors, whose sum is σ = 135135038. Its totient is φ = 135135036.

The previous prime is 135135029. The next prime is 135135061. The reversal of 135135037 is 730531531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99780121 + 35354916 = 9989^2 + 5946^2 .

It is a cyclic number.

It is not a de Polignac number, because 135135037 - 2³ = 135135029 is a prime.

It is a super-2 number, since 2×135135037² = 36522956449982738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135134996 and 135135014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135135017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67567518 + 67567519.

It is an arithmetic number, because the mean of its divisors is an integer number (67567519).

Almost surely, 2^135135037 is an apocalyptic number.

It is an amenable number.

135135037 is a deficient number, since it is larger than the sum of its proper divisors (1).

135135037 is an equidigital number, since it uses as much as digits as its factorization.

135135037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 135135037 is about 11624.7596534294. The cubic root of 135135037 is about 513.1637714649.

Adding to 135135037 its reverse (730531531), we get a palindrome (865666568).

The spelling of 135135037 in words is "one hundred thirty-five million, one hundred thirty-five thousand, thirty-seven".