135513224000 has 504 divisors, whose sum is σ = 429256658376. Its totient is φ = 42223104000.

The previous prime is 135513223927. The next prime is 135513224027. The reversal of 135513224000 is 422315531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2077901056 + 133435322944 = 45584^2 + 365288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47430572 + ... + 47433428.

It is an arithmetic number, because the mean of its divisors is an integer number (851699719).

Almost surely, 2^135513224000 is an apocalyptic number.

135513224000 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 135513224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214628329188).

135513224000 is an abundant number, since it is smaller than the sum of its proper divisors (293743434376).

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

135513224000 is a wasteful number, since it uses less digits than its factorization.

135513224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 135513224000 its reverse (422315531), we get a palindrome (135935539531).

The spelling of 135513224000 in words is "one hundred thirty-five billion, five hundred thirteen million, two hundred twenty-four thousand".