135247761 has 48 divisors (see below), whose sum is σ = 222363648. Its totient is φ = 78472800.

The previous prime is 135247759. The next prime is 135247769. The reversal of 135247761 is 167742531.

It is a happy number.

135247761 is a `hidden beast` number, since 1 + 3 + 524 + 77 + 61 = 666.

135247761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135247761 - 2¹ = 135247759 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135247769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389590 + ... + 389936.

It is an arithmetic number, because the mean of its divisors is an integer number (4632576).

Almost surely, 2^135247761 is an apocalyptic number.

135247761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135247761 is a deficient number, since it is larger than the sum of its proper divisors (87115887).

135247761 is a wasteful number, since it uses less digits than its factorization.

135247761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 135247761 is about 11629.6070870860. The cubic root of 135247761 is about 513.3064183992.

The spelling of 135247761 in words is "one hundred thirty-five million, two hundred forty-seven thousand, seven hundred sixty-one".