126026208 has 144 divisors (see below), whose sum is σ = 446898816. Its totient is φ = 32728320.

The previous prime is 126026189. The next prime is 126026213. The reversal of 126026208 is 802620621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

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, 19335 + ... + 25017.

It is an arithmetic number, because the mean of its divisors is an integer number (3103464).

Almost surely, 2^126026208 is an apocalyptic number.

126026208 is a gapful number since it is divisible by the number (18) 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 126026208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223449408).

126026208 is an abundant number, since it is smaller than the sum of its proper divisors (320872608).

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

126026208 is a wasteful number, since it uses less digits than its factorization.

126026208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126026208 is about 11226.1394967282. The cubic root of 126026208 is about 501.3645499525.

Adding to 126026208 its reverse (802620621), we get a palindrome (928646829).

The spelling of 126026208 in words is "one hundred twenty-six million, twenty-six thousand, two hundred eight".