126768900 has 36 divisors (see below), whose sum is σ = 366785552. Its totient is φ = 33804960.

The previous prime is 126768871. The next prime is 126768911. The reversal of 126768900 is 9867621.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210982 + ... + 211581.

Almost surely, 2^126768900 is an apocalyptic number.

126768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126768900 is an abundant number, since it is smaller than the sum of its proper divisors (240016652).

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

126768900 is a wasteful number, since it uses less digits than its factorization.

126768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422580 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 126768900 is about 11259.1695963779. The cubic root of 126768900 is about 502.3474946228.

The spelling of 126768900 in words is "one hundred twenty-six million, seven hundred sixty-eight thousand, nine hundred".