135020982286344 has 1024 divisors, whose sum is σ = 446357310013440. Its totient is φ = 33297264000000.

The previous prime is 135020982286331. The next prime is 135020982286363. The reversal of 135020982286344 is 443682289020531.

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 255 ways as a sum of consecutive naturals, for example, 123532462662 + ... + 123532463754.

It is an arithmetic number, because the mean of its divisors is an integer number (435895810560).

Almost surely, 2^{135020982286344} is an apocalyptic number.

135020982286344 is a gapful number since it is divisible by the number (14) 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 135020982286344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223178655006720).

135020982286344 is an abundant number, since it is smaller than the sum of its proper divisors (311336327727096).

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

135020982286344 is a wasteful number, since it uses less digits than its factorization.

135020982286344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 135020982286344 in words is "one hundred thirty-five trillion, twenty billion, nine hundred eighty-two million, two hundred eighty-six thousand, three hundred forty-four".