135002112 has 192 divisors, whose sum is σ = 426666240. Its totient is φ = 37158912.

The previous prime is 135002057. The next prime is 135002113. The reversal of 135002112 is 211200531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 135002091 and 135002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849308 + ... + 1849380.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 2^135002112 is an apocalyptic number.

135002112 is a gapful number since it is divisible by the number (12) 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 135002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213333120).

135002112 is an abundant number, since it is smaller than the sum of its proper divisors (291664128).

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

135002112 is an equidigital number, since it uses as much as digits as its factorization.

135002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 135002112 is about 11619.0409242760. The cubic root of 135002112 is about 512.9954591514.

Adding to 135002112 its reverse (211200531), we get a palindrome (346202643).

The spelling of 135002112 in words is "one hundred thirty-five million, two thousand, one hundred twelve".