135110042120 has 32 divisors (see below), whose sum is σ = 312213749400. Its totient is φ = 52583367168.

The previous prime is 135110042051. The next prime is 135110042147. The reversal of 135110042120 is 21240011531.

It can be written as a sum of positive squares in 4 ways, for example, as 123747761284 + 11362280836 = 351778^2 + 106594^2 .

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 = 135110042092 and 135110042101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45643805 + ... + 45646764.

Almost surely, 2^135110042120 is an apocalyptic number.

135110042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135110042120 is an abundant number, since it is smaller than the sum of its proper divisors (177103707280).

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

135110042120 is a wasteful number, since it uses less digits than its factorization.

135110042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91290617 (or 91290613 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 135110042120 its reverse (21240011531), we get a palindrome (156350053651).

The spelling of 135110042120 in words is "one hundred thirty-five billion, one hundred ten million, forty-two thousand, one hundred twenty".