135104344320 has 288 divisors, whose sum is σ = 472628265984. Its totient is φ = 32619520000.

The previous prime is 135104344283. The next prime is 135104344391. The reversal of 135104344320 is 23443401531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 10595869 + ... + 10608611.

It is an arithmetic number, because the mean of its divisors is an integer number (1641070368).

Almost surely, 2^135104344320 is an apocalyptic number.

135104344320 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 135104344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236314132992).

135104344320 is an abundant number, since it is smaller than the sum of its proper divisors (337523921664).

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

135104344320 is a wasteful number, since it uses less digits than its factorization.

135104344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 135104344320 its reverse (23443401531), we get a palindrome (158547745851).

The spelling of 135104344320 in words is "one hundred thirty-five billion, one hundred four million, three hundred forty-four thousand, three hundred twenty".