135408784806 has 16 divisors (see below), whose sum is σ = 300908410800. Its totient is φ = 45136261584.

The previous prime is 135408784799. The next prime is 135408784807. The reversal of 135408784806 is 608487804531.

135408784806 is a `hidden beast` number, since 13 + 540 + 8 + 7 + 8 + 4 + 80 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 2507570089 = 135408784806 / (1 + 3 + 5 + 4 + 0 + 8 + 7 + 8 + 4 + 8 + 0 + 6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135408784807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253784991 + ... + 1253785098.

It is an arithmetic number, because the mean of its divisors is an integer number (18806775675).

Almost surely, 2^135408784806 is an apocalyptic number.

135408784806 is an abundant number, since it is smaller than the sum of its proper divisors (165499625994).

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

135408784806 is a wasteful number, since it uses less digits than its factorization.

135408784806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507570100 (or 2507570094 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 135408784806 in words is "one hundred thirty-five billion, four hundred eight million, seven hundred eighty-four thousand, eight hundred six".