135501220 has 48 divisors (see below), whose sum is σ = 303594480. Its totient is φ = 50622464.

The previous prime is 135501181. The next prime is 135501227. The reversal of 135501220 is 22105531.

135501220 = T₂₆₀ + T₂₆₁ + ... + T₉₃₉.

135501220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13972644 + 121528576 = 3738^2 + 11024^2 .

It is not an unprimeable number, because it can be changed into a prime (135501227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45126 + ... + 48034.

It is an arithmetic number, because the mean of its divisors is an integer number (6324885).

Almost surely, 2^135501220 is an apocalyptic number.

135501220 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 135501220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151797240).

135501220 is an abundant number, since it is smaller than the sum of its proper divisors (168093260).

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

135501220 is a wasteful number, since it uses less digits than its factorization.

135501220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 135501220 is about 11640.4991301920. The cubic root of 135501220 is about 513.6268696537.

Adding to 135501220 its reverse (22105531), we get a palindrome (157606751).

The spelling of 135501220 in words is "one hundred thirty-five million, five hundred one thousand, two hundred twenty".