126204288 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 34793472.

The previous prime is 126204271. The next prime is 126204301. The reversal of 126204288 is 882402621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 77143 + ... + 78761.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^126204288 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 126204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

126204288 is an abundant number, since it is smaller than the sum of its proper divisors (270371712).

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

126204288 is a wasteful number, since it uses less digits than its factorization.

126204288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 126204288 is about 11234.0681856574. The cubic root of 126204288 is about 501.6005881014.

The spelling of 126204288 in words is "one hundred twenty-six million, two hundred four thousand, two hundred eighty-eight".