135191403916800 has 1440 divisors, whose sum is σ = 579922006080384. Its totient is φ = 27438243840000.

The previous prime is 135191403916787. The next prime is 135191403916817. The reversal of 135191403916800 is 8619304191531.

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, 889920850 + ... + 890072750.

Almost surely, 2^{135191403916800} is an apocalyptic number.

135191403916800 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 135191403916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289961003040192).

135191403916800 is an abundant number, since it is smaller than the sum of its proper divisors (444730602163584).

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

135191403916800 is a wasteful number, since it uses less digits than its factorization.

135191403916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152000 (or 151972 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 135191403916800 in words is "one hundred thirty-five trillion, one hundred ninety-one billion, four hundred three million, nine hundred sixteen thousand, eight hundred".