136816416 has 144 divisors (see below), whose sum is σ = 446977440. Its totient is φ = 39260160.

The previous prime is 136816331. The next prime is 136816441. The reversal of 136816416 is 614618631.

136816416 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59056 + ... + 61328.

It is an arithmetic number, because the mean of its divisors is an integer number (3104010).

Almost surely, 2^136816416 is an apocalyptic number.

136816416 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 136816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223488720).

136816416 is an abundant number, since it is smaller than the sum of its proper divisors (310161024).

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

136816416 is a wasteful number, since it uses less digits than its factorization.

136816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 136816416 is about 11696.8549619118. The cubic root of 136816416 is about 515.2833028244.

The spelling of 136816416 in words is "one hundred thirty-six million, eight hundred sixteen thousand, four hundred sixteen".