136331328 has 168 divisors, whose sum is σ = 430633632. Its totient is φ = 37933056.

The previous prime is 136331323. The next prime is 136331353. The reversal of 136331328 is 823133631.

136331328 is a nontrivial binomial coefficient, being equal to C(16513, 2).

It is a tau number, because it is divible by the number of its divisors (168).

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 = 136331295 and 136331304.

It is not an unprimeable number, because it can be changed into a prime (136331323) 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, 404376 + ... + 404712.

Almost surely, 2^136331328 is an apocalyptic number.

136331328 is the 16512-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215316816).

136331328 is an abundant number, since it is smaller than the sum of its proper divisors (294302304).

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

136331328 is a wasteful number, since it uses less digits than its factorization.

136331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 136331328 is about 11676.1007189901. The cubic root of 136331328 is about 514.6735959167.

Adding to 136331328 its reverse (823133631), we get a palindrome (959464959).

The spelling of 136331328 in words is "one hundred thirty-six million, three hundred thirty-one thousand, three hundred twenty-eight".