540136800 has 324 divisors, whose sum is σ = 2217069036. Its totient is φ = 123379200.

The previous prime is 540136783. The next prime is 540136819. The reversal of 540136800 is 8631045.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352035 + ... + 353565.

Almost surely, 2^540136800 is an apocalyptic number.

540136800 is a gapful number since it is divisible by the number (50) 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 540136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108534518).

540136800 is an abundant number, since it is smaller than the sum of its proper divisors (1676932236).

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

540136800 is a wasteful number, since it uses less digits than its factorization.

540136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540136800 is about 23240.8433581916. The cubic root of 540136800 is about 814.3940444187.

Adding to 540136800 its reverse (8631045), we get a palindrome (548767845).

The spelling of 540136800 in words is "five hundred forty million, one hundred thirty-six thousand, eight hundred".