136728144 has 240 divisors, whose sum is σ = 473541120. Its totient is φ = 35942400.

The previous prime is 136728143. The next prime is 136728167. The reversal of 136728144 is 441827631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 136728099 and 136728108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136728143) 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, 1353694 + ... + 1353794.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2^136728144 is an apocalyptic number.

136728144 is a gapful number since it is divisible by the number (14) 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 136728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

136728144 is an abundant number, since it is smaller than the sum of its proper divisors (336812976).

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

136728144 is a wasteful number, since it uses less digits than its factorization.

136728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 136728144 is about 11693.0810311055. The cubic root of 136728144 is about 515.1724611709.

The spelling of 136728144 in words is "one hundred thirty-six million, seven hundred twenty-eight thousand, one hundred forty-four".