135742653 has 12 divisors (see below), whose sum is σ = 197070588. Its totient is φ = 90034560.

The previous prime is 135742643. The next prime is 135742729. The reversal of 135742653 is 356247531.

135742653 is a `hidden beast` number, since 13 + 574 + 26 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108930969 + 26811684 = 10437^2 + 5178^2 .

It is not a de Polignac number, because 135742653 - 2¹⁰ = 135741629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135742643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36508 + ... + 40053.

It is an arithmetic number, because the mean of its divisors is an integer number (16422549).

Almost surely, 2^135742653 is an apocalyptic number.

It is an amenable number.

135742653 is a deficient number, since it is larger than the sum of its proper divisors (61327935).

135742653 is a wasteful number, since it uses less digits than its factorization.

135742653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76764 (or 76761 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135742653 is about 11650.8649035168. The cubic root of 135742653 is about 513.9317448870.

The spelling of 135742653 in words is "one hundred thirty-five million, seven hundred forty-two thousand, six hundred fifty-three".