135422111422400 has 336 divisors, whose sum is σ = 370294066591488. Its totient is φ = 48334669824000.

The previous prime is 135422111422243. The next prime is 135422111422519. The reversal of 135422111422400 is 4224111224531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 204515855 + ... + 205176945.

Almost surely, 2^{135422111422400} is an apocalyptic number.

135422111422400 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 135422111422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185147033295744).

135422111422400 is an abundant number, since it is smaller than the sum of its proper divisors (234871955169088).

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

135422111422400 is a wasteful number, since it uses less digits than its factorization.

135422111422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661340 (or 661325 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 135422111422400 its reverse (4224111224531), we get a palindrome (139646222646931).

The spelling of 135422111422400 in words is "one hundred thirty-five trillion, four hundred twenty-two billion, one hundred eleven million, four hundred twenty-two thousand, four hundred".