126789000 has 128 divisors (see below), whose sum is σ = 426142080. Its totient is φ = 31200000.

The previous prime is 126788971. The next prime is 126789023. The reversal of 126789000 is 987621.

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 31 ways as a sum of consecutive naturals, for example, 37375 + ... + 40625.

It is an arithmetic number, because the mean of its divisors is an integer number (3329235).

Almost surely, 2^126789000 is an apocalyptic number.

126789000 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 126789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213071040).

126789000 is an abundant number, since it is smaller than the sum of its proper divisors (299353080).

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

126789000 is a wasteful number, since it uses less digits than its factorization.

126789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 126789000 is about 11260.0621667911. The cubic root of 126789000 is about 502.3740433295.

The spelling of 126789000 in words is "one hundred twenty-six million, seven hundred eighty-nine thousand".