136316800 has 96 divisors (see below), whose sum is σ = 345290400. Its totient is φ = 53145600.

The previous prime is 136316797. The next prime is 136316801. The reversal of 136316800 is 8613631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136316801) 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, 130681 + ... + 131719.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^136316800 is an apocalyptic number.

136316800 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 136316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645200).

136316800 is an abundant number, since it is smaller than the sum of its proper divisors (208973600).

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

136316800 is a wasteful number, since it uses less digits than its factorization.

136316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 136316800 is about 11675.4785769150. The cubic root of 136316800 is about 514.6553133896.

The spelling of 136316800 in words is "one hundred thirty-six million, three hundred sixteen thousand, eight hundred".