135112653 has 24 divisors (see below), whose sum is σ = 217428120. Its totient is φ = 80277120.

The previous prime is 135112643. The next prime is 135112657. The reversal of 135112653 is 356211531.

135112653 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 2 + 653 = 666.

135112653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 123943689 = 3342^2 + 11133^2 .

It is not a de Polignac number, because 135112653 - 2¹⁸ = 134850509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135112657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16518 + ... + 23303.

It is an arithmetic number, because the mean of its divisors is an integer number (9059505).

Almost surely, 2^135112653 is an apocalyptic number.

135112653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135112653 is a deficient number, since it is larger than the sum of its proper divisors (82315467).

135112653 is a wasteful number, since it uses less digits than its factorization.

135112653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39869 (or 39866 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 135112653 is about 11623.7968409638. The cubic root of 135112653 is about 513.1354361237.

The spelling of 135112653 in words is "one hundred thirty-five million, one hundred twelve thousand, six hundred fifty-three".