126528000 has 160 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 33689600.

The previous prime is 126527987. The next prime is 126528001. The reversal of 126528000 is 825621.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (126528001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191671 + ... + 192329.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^126528000 is an apocalyptic number.

126528000 is a gapful number since it is divisible by the number (10) 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 126528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

126528000 is an abundant number, since it is smaller than the sum of its proper divisors (294784320).

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

126528000 is an frugal number, since it uses more digits than its factorization.

126528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

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

The square root of 126528000 is about 11248.4665621586. The cubic root of 126528000 is about 502.0290877999.

The spelling of 126528000 in words is "one hundred twenty-six million, five hundred twenty-eight thousand".