135112224000000 has 672 divisors, whose sum is σ = 484898099474880. Its totient is φ = 33258086400000.

The previous prime is 135112223999993. The next prime is 135112224000007. The reversal of 135112224000000 is 422211531.

It is an interprime number because it is at equal distance from previous prime (135112223999993) and next prime (135112224000007).

It is not an unprimeable number, because it can be changed into a prime (135112224000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1247945869 + ... + 1248054131.

It is an arithmetic number, because the mean of its divisors is an integer number (721574552790).

Almost surely, 2^{135112224000000} is an apocalyptic number.

135112224000000 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 135112224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242449049737440).

135112224000000 is an abundant number, since it is smaller than the sum of its proper divisors (349785875474880).

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

135112224000000 is an frugal number, since it uses more digits than its factorization.

135112224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108331 (or 108286 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 135112224000000 its reverse (422211531), we get a palindrome (135112646211531).

The spelling of 135112224000000 in words is "one hundred thirty-five trillion, one hundred twelve billion, two hundred twenty-four million", and thus it is an aban number.