136728864 has 96 divisors (see below), whose sum is σ = 419832000. Its totient is φ = 43172352.

The previous prime is 136728857. The next prime is 136728869. The reversal of 136728864 is 468827631.

136728864 is a `hidden beast` number, since 1 + 367 + 288 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136728869) 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, 12252 + ... + 20580.

It is an arithmetic number, because the mean of its divisors is an integer number (4373250).

Almost surely, 2^136728864 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 136728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209916000).

136728864 is an abundant number, since it is smaller than the sum of its proper divisors (283103136).

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

136728864 is a wasteful number, since it uses less digits than its factorization.

136728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8353 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 136728864 is about 11693.1118185024. Note that the first 3 decimals coincide. The cubic root of 136728864 is about 515.1733654556.

It can be divided in two parts, 136 and 728864, that added together give a cube (729000 = 90³).

The spelling of 136728864 in words is "one hundred thirty-six million, seven hundred twenty-eight thousand, eight hundred sixty-four".