126305920 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 40697856.

The previous prime is 126305909. The next prime is 126305957. The reversal of 126305920 is 29503621.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2687337 + ... + 2687383.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^126305920 is an apocalyptic number.

126305920 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 126305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

126305920 is an abundant number, since it is smaller than the sum of its proper divisors (243831680).

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

126305920 is a wasteful number, since it uses less digits than its factorization.

126305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 126305920 is about 11238.5906589750. The cubic root of 126305920 is about 501.7351978773.

The spelling of 126305920 in words is "one hundred twenty-six million, three hundred five thousand, nine hundred twenty".