135893897546400 has 2592 divisors, whose sum is σ = 603695927487744. Its totient is φ = 28078202880000.

The previous prime is 135893897546299. The next prime is 135893897546413. The reversal of 135893897546400 is 4645798398531.

135893897546400 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 9 + 38 + 9 + 7 + 546 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 431 ways as a sum of consecutive naturals, for example, 124331104254 + ... + 124331105346.

It is an arithmetic number, because the mean of its divisors is an integer number (232907379432).

Almost surely, 2^{135893897546400} is an apocalyptic number.

135893897546400 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 135893897546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301847963743872).

135893897546400 is an abundant number, since it is smaller than the sum of its proper divisors (467802029941344).

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

135893897546400 is a wasteful number, since it uses less digits than its factorization.

135893897546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 135893897546400 in words is "one hundred thirty-five trillion, eight hundred ninety-three billion, eight hundred ninety-seven million, five hundred forty-six thousand, four hundred".