135510500200224 has 96 divisors (see below), whose sum is σ = 357533035231680. Its totient is φ = 44939328924672.

The previous prime is 135510500200211. The next prime is 135510500200247. The reversal of 135510500200224 is 422002005015531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135510500200191 and 135510500200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635695962 + ... + 635909094.

It is an arithmetic number, because the mean of its divisors is an integer number (3724302450330).

Almost surely, 2^{135510500200224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135510500200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178766517615840).

135510500200224 is an abundant number, since it is smaller than the sum of its proper divisors (222022535031456).

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

135510500200224 is a wasteful number, since it uses less digits than its factorization.

135510500200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246962 (or 246954 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 135510500200224 its reverse (422002005015531), we get a palindrome (557512505215755).

The spelling of 135510500200224 in words is "one hundred thirty-five trillion, five hundred ten billion, five hundred million, two hundred thousand, two hundred twenty-four".