126238800 has 60 divisors (see below), whose sum is σ = 404388800. Its totient is φ = 33663360.

The previous prime is 126238771. The next prime is 126238811. The reversal of 126238800 is 8832621.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51400 + ... + 53799.

Almost surely, 2^126238800 is an apocalyptic number.

126238800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126238800 is an abundant number, since it is smaller than the sum of its proper divisors (278150000).

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

126238800 is a wasteful number, since it uses less digits than its factorization.

126238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105220 (or 105209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126238800 is about 11235.6041226095. The cubic root of 126238800 is about 501.6463067322.

The spelling of 126238800 in words is "one hundred twenty-six million, two hundred thirty-eight thousand, eight hundred".