136237728 has 96 divisors (see below), whose sum is σ = 413138880. Its totient is φ = 38850560.

The previous prime is 136237727. The next prime is 136237753. The reversal of 136237728 is 827732631.

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

It is not an unprimeable number, because it can be changed into a prime (136237721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14158 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (4303530).

Almost surely, 2^136237728 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 136237728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206569440).

136237728 is an abundant number, since it is smaller than the sum of its proper divisors (276901152).

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

136237728 is a wasteful number, since it uses less digits than its factorization.

136237728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7622 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 136237728 is about 11672.0918433672. The cubic root of 136237728 is about 514.5557837254. Note that the first 3 decimals are identical.

The spelling of 136237728 in words is "one hundred thirty-six million, two hundred thirty-seven thousand, seven hundred twenty-eight".