135443193760 has 192 divisors, whose sum is σ = 374088056832. Its totient is φ = 45375353856.

The previous prime is 135443193749. The next prime is 135443193797. The reversal of 135443193760 is 67391344531.

It is a self number, because there is not a number n which added to its sum of digits gives 135443193760.

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, 39109789 + ... + 39113251.

It is an arithmetic number, because the mean of its divisors is an integer number (1948375296).

Almost surely, 2^135443193760 is an apocalyptic number.

135443193760 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 135443193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187044028416).

135443193760 is an abundant number, since it is smaller than the sum of its proper divisors (238644863072).

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

135443193760 is a wasteful number, since it uses less digits than its factorization.

135443193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 135443193760 in words is "one hundred thirty-five billion, four hundred forty-three million, one hundred ninety-three thousand, seven hundred sixty".