136438016 has 72 divisors (see below), whose sum is σ = 320041344. Its totient is φ = 57231360.

The previous prime is 136437991. The next prime is 136438019. The reversal of 136438016 is 610834631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (136438019) 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 7 ways as a sum of consecutive naturals, for example, 34745 + ... + 38471.

Almost surely, 2^136438016 is an apocalyptic number.

136438016 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 136438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160020672).

136438016 is an abundant number, since it is smaller than the sum of its proper divisors (183603328).

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

136438016 is a wasteful number, since it uses less digits than its factorization.

136438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 136438016 is about 11680.6684740215. The cubic root of 136438016 is about 514.8078159336.

The spelling of 136438016 in words is "one hundred thirty-six million, four hundred thirty-eight thousand, sixteen".