136649216 has 80 divisors (see below), whose sum is σ = 313774560. Its totient is φ = 58798080.

The previous prime is 136649203. The next prime is 136649221. The reversal of 136649216 is 612946631.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 136649216.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106370 + ... + 107646.

It is an arithmetic number, because the mean of its divisors is an integer number (3922182).

Almost surely, 2^136649216 is an apocalyptic number.

136649216 is a gapful number since it is divisible by the number (16) 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 136649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887280).

136649216 is an abundant number, since it is smaller than the sum of its proper divisors (177125344).

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

136649216 is a wasteful number, since it uses less digits than its factorization.

136649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1309 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 136649216 is about 11689.7055565998. The cubic root of 136649216 is about 515.0733122138.

The spelling of 136649216 in words is "one hundred thirty-six million, six hundred forty-nine thousand, two hundred sixteen".