135300466784 has 144 divisors (see below), whose sum is σ = 316163878128. Its totient is φ = 56815976448.

The previous prime is 135300466759. The next prime is 135300466811. The reversal of 135300466784 is 487664003531.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20272472 + ... + 20279144.

It is an arithmetic number, because the mean of its divisors is an integer number (2195582487).

Almost surely, 2^135300466784 is an apocalyptic number.

135300466784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135300466784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158081939064).

135300466784 is an abundant number, since it is smaller than the sum of its proper divisors (180863411344).

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

135300466784 is a wasteful number, since it uses less digits than its factorization.

135300466784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 135300466784 in words is "one hundred thirty-five billion, three hundred million, four hundred sixty-six thousand, seven hundred eighty-four".