126126600 has 96 divisors (see below), whose sum is σ = 403664640. Its totient is φ = 32544000.

The previous prime is 126126529. The next prime is 126126613. The reversal of 126126600 is 6621621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15210 + ... + 21990.

It is an arithmetic number, because the mean of its divisors is an integer number (4204840).

Almost surely, 2^126126600 is an apocalyptic number.

126126600 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 126126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201832320).

126126600 is an abundant number, since it is smaller than the sum of its proper divisors (277538040).

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

126126600 is a wasteful number, since it uses less digits than its factorization.

126126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 126126600 is about 11230.6099567210. The cubic root of 126126600 is about 501.4976429855.

The spelling of 126126600 in words is "one hundred twenty-six million, one hundred twenty-six thousand, six hundred".