135112120 has 192 divisors, whose sum is σ = 379468800. Its totient is φ = 42831360.

The previous prime is 135112111. The next prime is 135112127. The reversal of 135112120 is 21211531.

135112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135112094 and 135112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135112127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710241 + ... + 1710319.

It is an arithmetic number, because the mean of its divisors is an integer number (1976400).

Almost surely, 2^135112120 is an apocalyptic number.

135112120 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 135112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189734400).

135112120 is an abundant number, since it is smaller than the sum of its proper divisors (244356680).

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

135112120 is a wasteful number, since it uses less digits than its factorization.

135112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 135112120 is about 11623.7739138371. The cubic root of 135112120 is about 513.1347613743.

Adding to 135112120 its reverse (21211531), we get a palindrome (156323651).

The spelling of 135112120 in words is "one hundred thirty-five million, one hundred twelve thousand, one hundred twenty".