135310566 has 32 divisors (see below), whose sum is σ = 276776928. Its totient is φ = 44087040.

The previous prime is 135310561. The next prime is 135310573. The reversal of 135310566 is 665013531.

135310566 = 49² + 50² + ... + 740².

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135310561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62250 + ... + 64386.

It is an arithmetic number, because the mean of its divisors is an integer number (8649279).

Almost surely, 2^135310566 is an apocalyptic number.

135310566 is an abundant number, since it is smaller than the sum of its proper divisors (141466362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135310566 is a wasteful number, since it uses less digits than its factorization.

135310566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 135310566 is about 11632.3069938856. The cubic root of 135310566 is about 513.3858608006.

It can be divided in two parts, 1353105 and 66, that multiplied together give a triangular number (89304930 = T₁₃₃₆₄).

The spelling of 135310566 in words is "one hundred thirty-five million, three hundred ten thousand, five hundred sixty-six".