135110022120 has 384 divisors, whose sum is σ = 482076036000. Its totient is φ = 32665436160.

The previous prime is 135110022107. The next prime is 135110022167. The reversal of 135110022120 is 21220011531.

135110022120 is a `hidden beast` number, since 1 + 351 + 100 + 2 + 212 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 63894695076 + 71215327044 = 252774^2 + 266862^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135110022093 and 135110022102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143580850 + ... + 143581790.

Almost surely, 2^135110022120 is an apocalyptic number.

135110022120 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 135110022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241038018000).

135110022120 is an abundant number, since it is smaller than the sum of its proper divisors (346966013880).

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

135110022120 is a wasteful number, since it uses less digits than its factorization.

135110022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 135110022120 its reverse (21220011531), we get a palindrome (156330033651).

The spelling of 135110022120 in words is "one hundred thirty-five billion, one hundred ten million, twenty-two thousand, one hundred twenty".