126076000 has 96 divisors (see below), whose sum is σ = 317405088. Its totient is φ = 49190400.

The previous prime is 126075967. The next prime is 126076003. The reversal of 126076000 is 670621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126076003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171634 + ... + 172366.

It is an arithmetic number, because the mean of its divisors is an integer number (3306303).

Almost surely, 2^126076000 is an apocalyptic number.

126076000 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 126076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158702544).

126076000 is an abundant number, since it is smaller than the sum of its proper divisors (191329088).

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

126076000 is an equidigital number, since it uses as much as digits as its factorization.

126076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 126076000 is about 11228.3569590568. The cubic root of 126076000 is about 501.4305697037.

The spelling of 126076000 in words is "one hundred twenty-six million, seventy-six thousand".