136338800 has 120 divisors (see below), whose sum is σ = 357122976. Its totient is φ = 49720320.

The previous prime is 136338749. The next prime is 136338809. The reversal of 136338800 is 8833631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136338809) 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, 816317 + ... + 816483.

Almost surely, 2^136338800 is an apocalyptic number.

136338800 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 136338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561488).

136338800 is an abundant number, since it is smaller than the sum of its proper divisors (220784176).

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

136338800 is a wasteful number, since it uses less digits than its factorization.

136338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 136338800 is about 11676.4206844392. The cubic root of 136338800 is about 514.6829984288.

The spelling of 136338800 in words is "one hundred thirty-six million, three hundred thirty-eight thousand, eight hundred".