135803784948720 has 720 divisors, whose sum is σ = 547607613548160. Its totient is φ = 27677290733568.

The previous prime is 135803784948691. The next prime is 135803784948731. The reversal of 135803784948720 is 27849487308531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63522627 + ... + 65625693.

It is an arithmetic number, because the mean of its divisors is an integer number (760566129928).

Almost surely, 2^{135803784948720} is an apocalyptic number.

135803784948720 is a gapful number since it is divisible by the number (10) 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 135803784948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273803806774080).

135803784948720 is an abundant number, since it is smaller than the sum of its proper divisors (411803828599440).

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

135803784948720 is a wasteful number, since it uses less digits than its factorization.

135803784948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103150 (or 2103120 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 135803784948720 in words is "one hundred thirty-five trillion, eight hundred three billion, seven hundred eighty-four million, nine hundred forty-eight thousand, seven hundred twenty".