135828112 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 50803200.

The previous prime is 135828103. The next prime is 135828127. The reversal of 135828112 is 211828531.

135828112 = T₃₆₃ + T₃₆₄ + ... + T₉₅₁.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1913037 + ... + 1913107.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^135828112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135828112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

135828112 is an abundant number, since it is smaller than the sum of its proper divisors (207007088).

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

135828112 is a wasteful number, since it uses less digits than its factorization.

135828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The square root of 135828112 is about 11654.5318224286. The cubic root of 135828112 is about 514.0395736310.

The spelling of 135828112 in words is "one hundred thirty-five million, eight hundred twenty-eight thousand, one hundred twelve".