126426500 has 48 divisors (see below), whose sum is σ = 278132400. Its totient is φ = 50201600.

The previous prime is 126426481. The next prime is 126426539. The reversal of 126426500 is 5624621.

It can be written as a sum of positive squares in 8 ways, for example, as 32103556 + 94322944 = 5666^2 + 9712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126426500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73652 + ... + 75348.

It is an arithmetic number, because the mean of its divisors is an integer number (5794425).

Almost surely, 2^126426500 is an apocalyptic number.

126426500 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 126426500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139066200).

126426500 is an abundant number, since it is smaller than the sum of its proper divisors (151705900).

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

126426500 is a wasteful number, since it uses less digits than its factorization.

126426500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 126426500 is about 11243.9539308910. The cubic root of 126426500 is about 501.8948103171.

The spelling of 126426500 in words is "one hundred twenty-six million, four hundred twenty-six thousand, five hundred".