135369984420 has 288 divisors, whose sum is σ = 477730431360. Its totient is φ = 30663290880.

The previous prime is 135369984389. The next prime is 135369984433. The reversal of 135369984420 is 24489963531.

135369984420 is a `hidden beast` number, since 1 + 3 + 53 + 6 + 99 + 84 + 420 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664274 + ... + 4693206.

It is an arithmetic number, because the mean of its divisors is an integer number (1658786220).

Almost surely, 2^135369984420 is an apocalyptic number.

135369984420 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 135369984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238865215680).

135369984420 is an abundant number, since it is smaller than the sum of its proper divisors (342360446940).

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

135369984420 is a wasteful number, since it uses less digits than its factorization.

135369984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29115 (or 29110 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 135369984420 in words is "one hundred thirty-five billion, three hundred sixty-nine million, nine hundred eighty-four thousand, four hundred twenty".