136213728 has 144 divisors (see below), whose sum is σ = 434367360. Its totient is φ = 37196544.

The previous prime is 136213697. The next prime is 136213729. The reversal of 136213728 is 827312631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136213729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107563 + ... + 108821.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^136213728 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 136213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

136213728 is an abundant number, since it is smaller than the sum of its proper divisors (298153632).

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

136213728 is a wasteful number, since it uses less digits than its factorization.

136213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 136213728 is about 11671.0637047357. The cubic root of 136213728 is about 514.5255667799.

The spelling of 136213728 in words is "one hundred thirty-six million, two hundred thirteen thousand, seven hundred twenty-eight".