135885172384800 has 1440 divisors, whose sum is σ = 540623167683984. Its totient is φ = 33084702720000.

The previous prime is 135885172384777. The next prime is 135885172384877. The reversal of 135885172384800 is 8483271588531.

135885172384800 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 8 + 5 + 172 + 384 + 80 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 12150606435984 + 123734565948816 = 3485772^2 + 11123604^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4905410950 + ... + 4905438650.

Almost surely, 2^{135885172384800} is an apocalyptic number.

135885172384800 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 135885172384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270311583841992).

135885172384800 is an abundant number, since it is smaller than the sum of its proper divisors (404737995299184).

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

135885172384800 is a wasteful number, since it uses less digits than its factorization.

135885172384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 135885172384800 in words is "one hundred thirty-five trillion, eight hundred eighty-five billion, one hundred seventy-two million, three hundred eighty-four thousand, eight hundred".