125128000 has 56 divisors (see below), whose sum is σ = 309899304. Its totient is φ = 50048000.

The previous prime is 125127983. The next prime is 125128033. The reversal of 125128000 is 821521.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 122412096 = 1648^2 + 11064^2 .

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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 15820.

Almost surely, 2^125128000 is an apocalyptic number.

125128000 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 125128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949652).

125128000 is an abundant number, since it is smaller than the sum of its proper divisors (184771304).

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

125128000 is an equidigital number, since it uses as much as digits as its factorization.

125128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 125128000 is about 11186.0627568417. The cubic root of 125128000 is about 500.1706084456.

Adding to 125128000 its reverse (821521), we get a palindrome (125949521).

It can be divided in two parts, 125 and 128000, that multiplied together give a square (16000000 = 4000²).

The spelling of 125128000 in words is "one hundred twenty-five million, one hundred twenty-eight thousand".