135422435033320 has 128 divisors (see below), whose sum is σ = 316747879747200. Its totient is φ = 52045952265216.

The previous prime is 135422435033299. The next prime is 135422435033323. The reversal of 135422435033320 is 23330534224531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (135422435033323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252611079 + ... + 253146601.

It is an arithmetic number, because the mean of its divisors is an integer number (2474592810525).

Almost surely, 2^{135422435033320} is an apocalyptic number.

135422435033320 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 135422435033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158373939873600).

135422435033320 is an abundant number, since it is smaller than the sum of its proper divisors (181325444713880).

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

135422435033320 is a wasteful number, since it uses less digits than its factorization.

135422435033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536627 (or 536623 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 135422435033320 its reverse (23330534224531), we get a palindrome (158752969257851).

The spelling of 135422435033320 in words is "one hundred thirty-five trillion, four hundred twenty-two billion, four hundred thirty-five million, thirty-three thousand, three hundred twenty".