135617444751360 has 3072 divisors, whose sum is σ = 553883310489600. Its totient is φ = 27824593305600.

The previous prime is 135617444751307. The next prime is 135617444751401. The reversal of 135617444751360 is 63157444716531.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a self number, because there is not a number n which added to its sum of digits gives 135617444751360.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 749267650470 + ... + 749267650650.

It is an arithmetic number, because the mean of its divisors is an integer number (180300556800).

Almost surely, 2^{135617444751360} is an apocalyptic number.

135617444751360 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 135617444751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276941655244800).

135617444751360 is an abundant number, since it is smaller than the sum of its proper divisors (418265865738240).

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

135617444751360 is a wasteful number, since it uses less digits than its factorization.

135617444751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 135617444751360 in words is "one hundred thirty-five trillion, six hundred seventeen billion, four hundred forty-four million, seven hundred fifty-one thousand, three hundred sixty".