136416288 has 96 divisors (see below), whose sum is σ = 368492544. Its totient is φ = 44174592.

The previous prime is 136416283. The next prime is 136416317. The reversal of 136416288 is 882614631.

136416288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (136416281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816781 + ... + 816947.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 2^136416288 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 136416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184246272).

136416288 is an abundant number, since it is smaller than the sum of its proper divisors (232076256).

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

136416288 is a wasteful number, since it uses less digits than its factorization.

136416288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 136416288 is about 11679.7383532338. The cubic root of 136416288 is about 514.7804864585.

The spelling of 136416288 in words is "one hundred thirty-six million, four hundred sixteen thousand, two hundred eighty-eight".