135572262735360 has 320 divisors, whose sum is σ = 474553026376704. Its totient is φ = 32744720793600.

The previous prime is 135572262735359. The next prime is 135572262735367. The reversal of 135572262735360 is 63537262275531.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 135572262735360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135572262735367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19933222 + ... + 25854938.

Almost surely, 2^{135572262735360} is an apocalyptic number.

135572262735360 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 135572262735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237276513188352).

135572262735360 is an abundant number, since it is smaller than the sum of its proper divisors (338980763641344).

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

135572262735360 is a wasteful number, since it uses less digits than its factorization.

135572262735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922025 (or 5922009 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 57.

The spelling of 135572262735360 in words is "one hundred thirty-five trillion, five hundred seventy-two billion, two hundred sixty-two million, seven hundred thirty-five thousand, three hundred sixty".