135324243198720 has 540 divisors, whose sum is σ = 491132769148560. Its totient is φ = 35578067374080.

The previous prime is 135324243198673. The next prime is 135324243198751. The reversal of 135324243198720 is 27891342423531.

135324243198720 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 424 + 3 + 198 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 522521421 + ... + 522780339.

Almost surely, 2^{135324243198720} is an apocalyptic number.

135324243198720 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 135324243198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245566384574280).

135324243198720 is an abundant number, since it is smaller than the sum of its proper divisors (355808525949840).

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

135324243198720 is an frugal number, since it uses more digits than its factorization.

135324243198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259094 (or 259000 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 135324243198720 in words is "one hundred thirty-five trillion, three hundred twenty-four billion, two hundred forty-three million, one hundred ninety-eight thousand, seven hundred twenty".