126076300 has 72 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 42984960.

The previous prime is 126076297. The next prime is 126076303. The reversal of 126076300 is 3670621.

It is an interprime number because it is at equal distance from previous prime (126076297) and next prime (126076303).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (126076303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162714 + ... + 163486.

It is an arithmetic number, because the mean of its divisors is an integer number (4366908).

Almost surely, 2^126076300 is an apocalyptic number.

126076300 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 126076300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

126076300 is an abundant number, since it is smaller than the sum of its proper divisors (188341076).

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

126076300 is a wasteful number, since it uses less digits than its factorization.

126076300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 126076300 is about 11228.3703180827. The cubic root of 126076300 is about 501.4309674243.

The spelling of 126076300 in words is "one hundred twenty-six million, seventy-six thousand, three hundred".