135220340121200 has 120 divisors (see below), whose sum is σ = 327087288332640. Its totient is φ = 53718602112000.

The previous prime is 135220340121173. The next prime is 135220340121221. The reversal of 135220340121200 is 2121043022531.

It is a self number, because there is not a number n which added to its sum of digits gives 135220340121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289021862 + ... + 289489338.

It is an arithmetic number, because the mean of its divisors is an integer number (2725727402772).

Almost surely, 2^{135220340121200} is an apocalyptic number.

135220340121200 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 135220340121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543644166320).

135220340121200 is an abundant number, since it is smaller than the sum of its proper divisors (191866948211440).

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

135220340121200 is a wasteful number, since it uses less digits than its factorization.

135220340121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472435 (or 472424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 135220340121200 its reverse (2121043022531), we get a palindrome (137341383143731).

The spelling of 135220340121200 in words is "one hundred thirty-five trillion, two hundred twenty billion, three hundred forty million, one hundred twenty-one thousand, two hundred".