135213544324000 has 96 divisors (see below), whose sum is σ = 332224038291600. Its totient is φ = 54084707942400.

The previous prime is 135213544323983. The next prime is 135213544324007. The reversal of 135213544324000 is 423445312531.

It can be written as a sum of positive squares in 8 ways, for example, as 766458226576 + 134447086097424 = 875476^2 + 11595132^2 .

It is not an unprimeable number, because it can be changed into a prime (135213544324007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390743056 + ... + 391088944.

Almost surely, 2^{135213544324000} is an apocalyptic number.

135213544324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135213544324000 is an abundant number, since it is smaller than the sum of its proper divisors (197010493967600).

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

135213544324000 is an equidigital number, since it uses as much as digits as its factorization.

135213544324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443643 (or 443625 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 135213544324000 its reverse (423445312531), we get a palindrome (135636989636531).

The spelling of 135213544324000 in words is "one hundred thirty-five trillion, two hundred thirteen billion, five hundred forty-four million, three hundred twenty-four thousand".