126528 has 28 divisors (see below), whose sum is σ = 335280. Its totient is φ = 42112.

The previous prime is 126517. The next prime is 126541. The reversal of 126528 is 825621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 126498 and 126507.

It is an unprimeable number.

126528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138 + ... + 521.

2¹²⁶⁵²⁸ is an apocalyptic number.

It is an amenable number.

126528 is an abundant number, since it is smaller than the sum of its proper divisors (208752).

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

126528 is an equidigital number, since it uses as much as digits as its factorization.

126528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 126528 is about 355.7077452067. The cubic root of 126528 is about 50.2029087800.

The spelling of 126528 in words is "one hundred twenty-six thousand, five hundred twenty-eight".