135023225220 has 288 divisors, whose sum is σ = 467560181088. Its totient is φ = 31245336576.

The previous prime is 135023225201. The next prime is 135023225231. The reversal of 135023225220 is 22522320531.

135023225220 is a `hidden beast` number, since 135 + 0 + 2 + 3 + 2 + 2 + 522 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3780774144 + 131242451076 = 61488^2 + 362274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51593352 + ... + 51595968.

It is an arithmetic number, because the mean of its divisors is an integer number (1623472851).

Almost surely, 2^135023225220 is an apocalyptic number.

135023225220 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 135023225220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233780090544).

135023225220 is an abundant number, since it is smaller than the sum of its proper divisors (332536955868).

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

135023225220 is a wasteful number, since it uses less digits than its factorization.

135023225220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 135023225220 its reverse (22522320531), we get a palindrome (157545545751).

The spelling of 135023225220 in words is "one hundred thirty-five billion, twenty-three million, two hundred twenty-five thousand, two hundred twenty".