135333445310400 has 168 divisors, whose sum is σ = 444096563584624. Its totient is φ = 36081596620800.

The previous prime is 135333445310339. The next prime is 135333445310407. The reversal of 135333445310400 is 4013544333531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135333445310407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20820660 + ... + 26536140.

Almost surely, 2^{135333445310400} is an apocalyptic number.

135333445310400 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 135333445310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222048281792312).

135333445310400 is an abundant number, since it is smaller than the sum of its proper divisors (308763118274224).

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

135333445310400 is a wasteful number, since it uses less digits than its factorization.

135333445310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720439 (or 5720424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 135333445310400 its reverse (4013544333531), we get a palindrome (139346989643931).

The spelling of 135333445310400 in words is "one hundred thirty-five trillion, three hundred thirty-three billion, four hundred forty-five million, three hundred ten thousand, four hundred".