135493684454656 has 144 divisors (see below), whose sum is σ = 302629667356800. Its totient is φ = 60020446453760.

The previous prime is 135493684454651. The next prime is 135493684454657. The reversal of 135493684454656 is 656454486394531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135493684454651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19191501 + ... + 25284403.

It is an arithmetic number, because the mean of its divisors is an integer number (2101594912200).

Almost surely, 2^{135493684454656} is an apocalyptic number.

135493684454656 is a gapful number since it is divisible by the number (16) 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 135493684454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314833678400).

135493684454656 is an abundant number, since it is smaller than the sum of its proper divisors (167135982902144).

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

135493684454656 is a wasteful number, since it uses less digits than its factorization.

135493684454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093132 (or 6093118 counting only the distinct ones).

The product of its digits is 4478976000, while the sum is 73.

The spelling of 135493684454656 in words is "one hundred thirty-five trillion, four hundred ninety-three billion, six hundred eighty-four million, four hundred fifty-four thousand, six hundred fifty-six".