126575328 has 96 divisors (see below), whose sum is σ = 368081280. Its totient is φ = 37762560.

The previous prime is 126575311. The next prime is 126575333. The reversal of 126575328 is 823575621.

It is a tau number, because it is divible by the number of its divisors (96).

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, 69858 + ... + 71646.

It is an arithmetic number, because the mean of its divisors is an integer number (3834180).

Almost surely, 2^126575328 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 126575328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184040640).

126575328 is an abundant number, since it is smaller than the sum of its proper divisors (241505952).

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

126575328 is a wasteful number, since it uses less digits than its factorization.

126575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 126575328 is about 11250.5701188873. The cubic root of 126575328 is about 502.0916749236.

The spelling of 126575328 in words is "one hundred twenty-six million, five hundred seventy-five thousand, three hundred twenty-eight".