125425728 has 84 divisors (see below), whose sum is σ = 380687580. Its totient is φ = 39346176.

The previous prime is 125425723. The next prime is 125425733. The reversal of 125425728 is 827524521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125425723) and next prime (125425733).

It can be written as a sum of positive squares in 2 ways, for example, as 69355584 + 56070144 = 8328^2 + 7488^2 .

It is a super-2 number, since 2×125425728² = 31463226488659968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125425692 and 125425701.

It is not an unprimeable number, because it can be changed into a prime (125425723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3388 + ... + 16196.

It is an arithmetic number, because the mean of its divisors is an integer number (4531995).

Almost surely, 2^125425728 is an apocalyptic number.

125425728 is a gapful number since it is divisible by the number (18) 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 125425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190343790).

125425728 is an abundant number, since it is smaller than the sum of its proper divisors (255261852).

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

125425728 is a wasteful number, since it uses less digits than its factorization.

125425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12831 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 125425728 is about 11199.3628390190. The cubic root of 125425728 is about 500.5669941256.

The spelling of 125425728 in words is "one hundred twenty-five million, four hundred twenty-five thousand, seven hundred twenty-eight".