126561800 has 48 divisors (see below), whose sum is σ = 304416900. Its totient is φ = 48876800.

The previous prime is 126561797. The next prime is 126561881. The reversal of 126561800 is 8165621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52911076 + 73650724 = 7274^2 + 8582^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 5111 + ... + 16710.

Almost surely, 2^126561800 is an apocalyptic number.

126561800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126561800 is an abundant number, since it is smaller than the sum of its proper divisors (177855100).

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

126561800 is a wasteful number, since it uses less digits than its factorization.

126561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21866 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 126561800 is about 11249.9688888459. The cubic root of 126561800 is about 502.0737869242.

The spelling of 126561800 in words is "one hundred twenty-six million, five hundred sixty-one thousand, eight hundred".