126505420 has 48 divisors (see below), whose sum is σ = 288691200. Its totient is φ = 46388160.

The previous prime is 126505411. The next prime is 126505469. The reversal of 126505420 is 24505621.

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 15 ways as a sum of consecutive naturals, for example, 6411 + ... + 17149.

It is an arithmetic number, because the mean of its divisors is an integer number (6014400).

Almost surely, 2^126505420 is an apocalyptic number.

126505420 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 126505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144345600).

126505420 is an abundant number, since it is smaller than the sum of its proper divisors (162185780).

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

126505420 is a wasteful number, since it uses less digits than its factorization.

126505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 126505420 is about 11247.4628250108. The cubic root of 126505420 is about 501.9992222334. Note that the first 3 decimals are identical.

The spelling of 126505420 in words is "one hundred twenty-six million, five hundred five thousand, four hundred twenty".