136416816 has 60 divisors (see below), whose sum is σ = 382575960. Its totient is φ = 45377280.

The previous prime is 136416811. The next prime is 136416821. The reversal of 136416816 is 618614631.

136416816 is a `hidden beast` number, since 1 + 3 + 641 + 6 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (136416811) and next prime (136416821).

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 not an unprimeable number, because it can be changed into a prime (136416811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115911 + ... + 117081.

It is an arithmetic number, because the mean of its divisors is an integer number (6376266).

Almost surely, 2^136416816 is an apocalyptic number.

136416816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136416816 is an abundant number, since it is smaller than the sum of its proper divisors (246159144).

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

136416816 is a wasteful number, since it uses less digits than its factorization.

136416816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1985 counting only the distinct ones).

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

The square root of 136416816 is about 11679.7609564580. The cubic root of 136416816 is about 514.7811506113.

The spelling of 136416816 in words is "one hundred thirty-six million, four hundred sixteen thousand, eight hundred sixteen".