135112320 has 256 divisors, whose sum is σ = 547372800. Its totient is φ = 30855168.

The previous prime is 135112319. The next prime is 135112331. The reversal of 135112320 is 23211531.

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 = 135112293 and 135112302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120402 + ... + 121518.

It is an arithmetic number, because the mean of its divisors is an integer number (2138175).

Almost surely, 2^135112320 is an apocalyptic number.

135112320 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 135112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273686400).

135112320 is an abundant number, since it is smaller than the sum of its proper divisors (412260480).

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

135112320 is a wasteful number, since it uses less digits than its factorization.

135112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135112320 is about 11623.7825168918. The cubic root of 135112320 is about 513.1350145638.

Adding to 135112320 its reverse (23211531), we get a palindrome (158323851).

The spelling of 135112320 in words is "one hundred thirty-five million, one hundred twelve thousand, three hundred twenty".