135513504424000 has 112 divisors (see below), whose sum is σ = 335627794210176. Its totient is φ = 54200782272000.

The previous prime is 135513504423991. The next prime is 135513504424037. The reversal of 135513504424000 is 424405315531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93932119 + ... + 95363881.

Almost surely, 2^{135513504424000} is an apocalyptic number.

135513504424000 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 135513504424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167813897105088).

135513504424000 is an abundant number, since it is smaller than the sum of its proper divisors (200114289786176).

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

135513504424000 is a wasteful number, since it uses less digits than its factorization.

135513504424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443621 (or 1443601 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 135513504424000 its reverse (424405315531), we get a palindrome (135937909739531).

The spelling of 135513504424000 in words is "one hundred thirty-five trillion, five hundred thirteen billion, five hundred four million, four hundred twenty-four thousand".