136814800 has 30 divisors (see below), whose sum is σ = 328698518. Its totient is φ = 54725760.

The previous prime is 136814773. The next prime is 136814803. The reversal of 136814800 is 8418631.

It can be written as a sum of positive squares in 3 ways, for example, as 2903616 + 133911184 = 1704^2 + 11572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136814803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170619 + ... + 171418.

Almost surely, 2^136814800 is an apocalyptic number.

136814800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136814800 is an abundant number, since it is smaller than the sum of its proper divisors (191883718).

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

136814800 is a wasteful number, since it uses less digits than its factorization.

136814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342055 (or 342044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 136814800 is about 11696.7858833100. The cubic root of 136814800 is about 515.2812740691.

It can be divided in two parts, 13681 and 4800, that added together give a palindrome (18481).

The spelling of 136814800 in words is "one hundred thirty-six million, eight hundred fourteen thousand, eight hundred".