135242220 has 96 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 34827520.

The previous prime is 135242207. The next prime is 135242249. The reversal of 135242220 is 22242531.

135242220 = 1345² + 1346² + ... + 1415².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225481 + ... + 226079.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^135242220 is an apocalyptic number.

135242220 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 135242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

135242220 is an abundant number, since it is smaller than the sum of its proper divisors (256668180).

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

135242220 is a wasteful number, since it uses less digits than its factorization.

135242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 135242220 is about 11629.3688564771. The cubic root of 135242220 is about 513.2994083763.

Adding to 135242220 its reverse (22242531), we get a palindrome (157484751).

The spelling of 135242220 in words is "one hundred thirty-five million, two hundred forty-two thousand, two hundred twenty".