135552201430400 has 192 divisors, whose sum is σ = 343567353094560. Its totient is φ = 52814555136000.

The previous prime is 135552201430391. The next prime is 135552201430411. The reversal of 135552201430400 is 4034102255531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81968522 + ... + 83605878.

Almost surely, 2^{135552201430400} is an apocalyptic number.

135552201430400 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 135552201430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171783676547280).

135552201430400 is an abundant number, since it is smaller than the sum of its proper divisors (208015151664160).

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

135552201430400 is a wasteful number, since it uses less digits than its factorization.

135552201430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638053 (or 1638036 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 135552201430400 its reverse (4034102255531), we get a palindrome (139586303685931).

The spelling of 135552201430400 in words is "one hundred thirty-five trillion, five hundred fifty-two billion, two hundred one million, four hundred thirty thousand, four hundred".