135580202041344 has 640 divisors, whose sum is σ = 403609100400000. Its totient is φ = 40281156091904.

The previous prime is 135580202041279. The next prime is 135580202041381. The reversal of 135580202041344 is 443140202085531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135580202041296 and 135580202041305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41097361807 + ... + 41097365105.

It is an arithmetic number, because the mean of its divisors is an integer number (630639219375).

Almost surely, 2^{135580202041344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135580202041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201804550200000).

135580202041344 is an abundant number, since it is smaller than the sum of its proper divisors (268028898358656).

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

135580202041344 is an frugal number, since it uses more digits than its factorization.

135580202041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 135580202041344 in words is "one hundred thirty-five trillion, five hundred eighty billion, two hundred two million, forty-one thousand, three hundred forty-four".