135652609 has 9 divisors (see below), whose sum is σ = 143401923. Its totient is φ = 128303352.

The previous prime is 135652607. The next prime is 135652663. The reversal of 135652609 is 906256531.

The square root of 135652609 is 11647.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 135210384 = 665^2 + 11628^2 .

It is not a de Polignac number, because 135652609 - 2¹ = 135652607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135652603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220987 + ... + 221599.

It is an arithmetic number, because the mean of its divisors is an integer number (15933547).

Almost surely, 2^135652609 is an apocalyptic number.

135652609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

135652609 is the 11647-th square number.

135652609 is the 5824-th centered octagonal number.

It is an amenable number.

135652609 is a deficient number, since it is larger than the sum of its proper divisors (7749314).

135652609 is an frugal number, since it uses more digits than its factorization.

135652609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The cubic root of 135652609 is about 513.8180819982.

The spelling of 135652609 in words is "one hundred thirty-five million, six hundred fifty-two thousand, six hundred nine".