126541800 has 432 divisors, whose sum is σ = 540277920. Its totient is φ = 25977600.

The previous prime is 126541799. The next prime is 126541841. The reversal of 126541800 is 8145621.

126541800 is a `hidden beast` number, since 1 + 2 + 654 + 1 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1524559 + ... + 1524641.

Almost surely, 2^126541800 is an apocalyptic number.

126541800 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 126541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

126541800 is an abundant number, since it is smaller than the sum of its proper divisors (413736120).

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

126541800 is a wasteful number, since it uses less digits than its factorization.

126541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 126541800 is about 11249.0799623791. The cubic root of 126541800 is about 502.0473386997.

The spelling of 126541800 in words is "one hundred twenty-six million, five hundred forty-one thousand, eight hundred".