135422311200 has 288 divisors, whose sum is σ = 492604846272. Its totient is φ = 32028672000.

The previous prime is 135422311187. The next prime is 135422311217. The reversal of 135422311200 is 2113224531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019844 + ... + 1144956.

It is an arithmetic number, because the mean of its divisors is an integer number (1710433494).

Almost surely, 2^135422311200 is an apocalyptic number.

135422311200 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 135422311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302423136).

135422311200 is an abundant number, since it is smaller than the sum of its proper divisors (357182535072).

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

135422311200 is a wasteful number, since it uses less digits than its factorization.

135422311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125188 (or 125175 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 135422311200 its reverse (2113224531), we get a palindrome (137535535731).

The spelling of 135422311200 in words is "one hundred thirty-five billion, four hundred twenty-two million, three hundred eleven thousand, two hundred".