126288288 has 288 divisors, whose sum is σ = 453902400. Its totient is φ = 33965568.

The previous prime is 126288271. The next prime is 126288293. The reversal of 126288288 is 882882621.

126288288 is a `hidden beast` number, since 12 + 628 + 8 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804306 + ... + 804462.

It is an arithmetic number, because the mean of its divisors is an integer number (1576050).

Almost surely, 2^126288288 is an apocalyptic number.

126288288 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 126288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226951200).

126288288 is an abundant number, since it is smaller than the sum of its proper divisors (327614112).

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

126288288 is a wasteful number, since it uses less digits than its factorization.

126288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 126288288 is about 11237.8061916016. The cubic root of 126288288 is about 501.7118497854.

The spelling of 126288288 in words is "one hundred twenty-six million, two hundred eighty-eight thousand, two hundred eighty-eight".