126528512 has 88 divisors (see below), whose sum is σ = 282977280. Its totient is φ = 56053760.

The previous prime is 126528499. The next prime is 126528517. The reversal of 126528512 is 215825621.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (126528517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529289 + ... + 529527.

Almost surely, 2^126528512 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 126528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

126528512 is an abundant number, since it is smaller than the sum of its proper divisors (156448768).

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

126528512 is a wasteful number, since it uses less digits than its factorization.

126528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 126528512 is about 11248.4893207933. The cubic root of 126528512 is about 502.0297649584.

The spelling of 126528512 in words is "one hundred twenty-six million, five hundred twenty-eight thousand, five hundred twelve".