136348800 has 192 divisors, whose sum is σ = 513508800. Its totient is φ = 31150080.

The previous prime is 136348777. The next prime is 136348813. The reversal of 136348800 is 8843631.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×136348800² = 37181990522880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66186 + ... + 68214.

It is an arithmetic number, because the mean of its divisors is an integer number (2674525).

Almost surely, 2^136348800 is an apocalyptic number.

136348800 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 136348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256754400).

136348800 is an abundant number, since it is smaller than the sum of its proper divisors (377160000).

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

136348800 is a wasteful number, since it uses less digits than its factorization.

136348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 136348800 is about 11676.8488900045. The cubic root of 136348800 is about 514.6955815530.

The spelling of 136348800 in words is "one hundred thirty-six million, three hundred forty-eight thousand, eight hundred".