126054208 has 112 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 50112000.

The previous prime is 126054197. The next prime is 126054211. The reversal of 126054208 is 802450621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 502083 + ... + 502333.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^126054208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

126054208 is an abundant number, since it is smaller than the sum of its proper divisors (181184192).

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

126054208 is a wasteful number, since it uses less digits than its factorization.

126054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 126054208 is about 11227.3865169059. The cubic root of 126054208 is about 501.4016775947.

The spelling of 126054208 in words is "one hundred twenty-six million, fifty-four thousand, two hundred eight".