135037633 has 2 divisors, whose sum is σ = 135037634. Its totient is φ = 135037632.

The previous prime is 135037603. The next prime is 135037649. The reversal of 135037633 is 336730531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134954689 + 82944 = 11617^2 + 288^2 .

It is a cyclic number.

It is not a de Polignac number, because 135037633 - 2¹⁷ = 134906561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135037595 and 135037604.

It is not a weakly prime, because it can be changed into another prime (135037603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67518816 + 67518817.

It is an arithmetic number, because the mean of its divisors is an integer number (67518817).

Almost surely, 2^135037633 is an apocalyptic number.

It is an amenable number.

135037633 is a deficient number, since it is larger than the sum of its proper divisors (1).

135037633 is an equidigital number, since it uses as much as digits as its factorization.

135037633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 31.

The square root of 135037633 is about 11620.5693922458. The cubic root of 135037633 is about 513.0404473705.

It can be divided in two parts, 1350 and 37633, that added together give a palindrome (38983).

The spelling of 135037633 in words is "one hundred thirty-five million, thirty-seven thousand, six hundred thirty-three".