136468800 has 378 divisors, whose sum is σ = 542416238. Its totient is φ = 33592320.

The previous prime is 136468781. The next prime is 136468807. The reversal of 136468800 is 8864631.

It is a happy number.

136468800 is a `hidden beast` number, since 1 + 3 + 646 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 136048896 = 648^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136468807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497594 + ... + 10497606.

Almost surely, 2^136468800 is an apocalyptic number.

136468800 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 136468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271208119).

136468800 is an abundant number, since it is smaller than the sum of its proper divisors (405947438).

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

136468800 is an frugal number, since it uses more digits than its factorization.

136468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136468800 is about 11681.9861325033. The cubic root of 136468800 is about 514.8465310770.

The spelling of 136468800 in words is "one hundred thirty-six million, four hundred sixty-eight thousand, eight hundred".