135242120 has 32 divisors (see below), whose sum is σ = 327703320. Its totient is φ = 49935360.

The previous prime is 135242117. The next prime is 135242137. The reversal of 135242120 is 21242531.

It can be written as a sum of positive squares in 4 ways, for example, as 54493924 + 80748196 = 7382^2 + 8986^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135242092 and 135242101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129521 + ... + 130560.

Almost surely, 2^135242120 is an apocalyptic number.

135242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135242120 is an abundant number, since it is smaller than the sum of its proper divisors (192461200).

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

135242120 is a wasteful number, since it uses less digits than its factorization.

135242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260105 (or 260101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135242120 is about 11629.3645570169. The cubic root of 135242120 is about 513.2992818626.

Adding to 135242120 its reverse (21242531), we get a palindrome (156484651).

The spelling of 135242120 in words is "one hundred thirty-five million, two hundred forty-two thousand, one hundred twenty".