135261220 has 48 divisors (see below), whose sum is σ = 296881200. Its totient is φ = 51699200.

The previous prime is 135261179. The next prime is 135261239. The reversal of 135261220 is 22162531.

It can be written as a sum of positive squares in 8 ways, for example, as 22221796 + 113039424 = 4714^2 + 10632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135261191 and 135261200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57426 + ... + 59734.

It is an arithmetic number, because the mean of its divisors is an integer number (6185025).

Almost surely, 2^135261220 is an apocalyptic number.

135261220 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 135261220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148440600).

135261220 is an abundant number, since it is smaller than the sum of its proper divisors (161619980).

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

135261220 is a wasteful number, since it uses less digits than its factorization.

135261220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135261220 is about 11630.1857250863. The cubic root of 135261220 is about 513.3234448349.

The spelling of 135261220 in words is "one hundred thirty-five million, two hundred sixty-one thousand, two hundred twenty".