135530304000000 has 1456 divisors, whose sum is σ = 556018440372864. Its totient is φ = 28591718400000.

The previous prime is 135530303999953. The next prime is 135530304000011. The reversal of 135530304000000 is 403035531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17471996122 + ... + 17472003878.

Almost surely, 2^{135530304000000} is an apocalyptic number.

135530304000000 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 135530304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278009220186432).

135530304000000 is an abundant number, since it is smaller than the sum of its proper divisors (420488136372864).

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

135530304000000 is an frugal number, since it uses more digits than its factorization.

135530304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 135530304000000 its reverse (403035531), we get a palindrome (135530707035531).

The spelling of 135530304000000 in words is "one hundred thirty-five trillion, five hundred thirty billion, three hundred four million", and thus it is an aban number.