135415134400000 has 960 divisors, whose sum is σ = 419285519009280. Its totient is φ = 42541977600000.

The previous prime is 135415134399947. The next prime is 135415134400001. The reversal of 135415134400000 is 4431514531.

135415134400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135415134400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20238396655 + ... + 20238403345.

It is an arithmetic number, because the mean of its divisors is an integer number (436755748968).

Almost surely, 2^{135415134400000} is an apocalyptic number.

135415134400000 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 135415134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209642759504640).

135415134400000 is an abundant number, since it is smaller than the sum of its proper divisors (283870384609280).

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

135415134400000 is an frugal number, since it uses more digits than its factorization.

135415134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 135415134400000 its reverse (4431514531), we get a palindrome (135419565914531).

The spelling of 135415134400000 in words is "one hundred thirty-five trillion, four hundred fifteen billion, one hundred thirty-four million, four hundred thousand".