135771379916800 has 336 divisors, whose sum is σ = 347706920332800. Its totient is φ = 52533470822400.

The previous prime is 135771379916791. The next prime is 135771379916849. The reversal of 135771379916800 is 8619973177531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23992112371 + ... + 23992118029.

It is an arithmetic number, because the mean of its divisors is an integer number (1034842024800).

Almost surely, 2^{135771379916800} is an apocalyptic number.

135771379916800 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 135771379916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173853460166400).

135771379916800 is an abundant number, since it is smaller than the sum of its proper divisors (211935540416000).

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

135771379916800 is an equidigital number, since it uses as much as digits as its factorization.

135771379916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 67.

The spelling of 135771379916800 in words is "one hundred thirty-five trillion, seven hundred seventy-one billion, three hundred seventy-nine million, nine hundred sixteen thousand, eight hundred".