136816800 has 144 divisors (see below), whose sum is σ = 450283680. Its totient is φ = 36080640.

The previous prime is 136816783. The next prime is 136816807. The reversal of 136816800 is 8618631.

It is not an unprimeable number, because it can be changed into a prime (136816807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261339 + ... + 261861.

It is an arithmetic number, because the mean of its divisors is an integer number (3126970).

Almost surely, 2^136816800 is an apocalyptic number.

136816800 is a gapful number since it is divisible by the number (10) 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 136816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225141840).

136816800 is an abundant number, since it is smaller than the sum of its proper divisors (313466880).

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

136816800 is a wasteful number, since it uses less digits than its factorization.

136816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 136816800 is about 11696.8713765690. The cubic root of 136816800 is about 515.2837849025.

The spelling of 136816800 in words is "one hundred thirty-six million, eight hundred sixteen thousand, eight hundred".