136396800 has 270 divisors, whose sum is σ = 501793838. Its totient is φ = 35389440.

The previous prime is 136396787. The next prime is 136396829. The reversal of 136396800 is 8693631.

It is a happy number.

136396800 is a `hidden beast` number, since 13 + 639 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28901376 + 107495424 = 5376^2 + 10368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686382 + ... + 3686418.

Almost surely, 2^136396800 is an apocalyptic number.

136396800 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 136396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250896919).

136396800 is an abundant number, since it is smaller than the sum of its proper divisors (365397038).

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

136396800 is an equidigital number, since it uses as much as digits as its factorization.

136396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136396800 is about 11678.9040581726. The cubic root of 136396800 is about 514.7559719864.

The spelling of 136396800 in words is "one hundred thirty-six million, three hundred ninety-six thousand, eight hundred".