135930716563200 has 432 divisors, whose sum is σ = 493386273924096. Its totient is φ = 32747953766400.

The previous prime is 135930716563199. The next prime is 135930716563261. The reversal of 135930716563200 is 2365617039531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5937645 + ... + 17524755.

Almost surely, 2^{135930716563200} is an apocalyptic number.

135930716563200 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 135930716563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246693136962048).

135930716563200 is an abundant number, since it is smaller than the sum of its proper divisors (357455557360896).

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

135930716563200 is a wasteful number, since it uses less digits than its factorization.

135930716563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587200 (or 11587181 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 135930716563200 in words is "one hundred thirty-five trillion, nine hundred thirty billion, seven hundred sixteen million, five hundred sixty-three thousand, two hundred".