126038528 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 46632960.

The previous prime is 126038519. The next prime is 126038531. The reversal of 126038528 is 825830621.

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, 906683 + ... + 906821.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^126038528 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 126038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

126038528 is an abundant number, since it is smaller than the sum of its proper divisors (203940352).

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

126038528 is a wasteful number, since it uses less digits than its factorization.

126038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 126038528 is about 11226.6882026713. The cubic root of 126038528 is about 501.3808867925.

The spelling of 126038528 in words is "one hundred twenty-six million, thirty-eight thousand, five hundred twenty-eight".