125928900 has 54 divisors (see below), whose sum is σ = 394719962. Its totient is φ = 33580800.

The previous prime is 125928863. The next prime is 125928919. The reversal of 125928900 is 9829521.

It can be written as a sum of positive squares in 3 ways, for example, as 2452356 + 123476544 = 1566^2 + 11112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69061 + ... + 70860.

Almost surely, 2^125928900 is an apocalyptic number.

125928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125928900 is an abundant number, since it is smaller than the sum of its proper divisors (268791062).

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

125928900 is a wasteful number, since it uses less digits than its factorization.

125928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139941 (or 139931 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 125928900 is about 11221.8046676994. The cubic root of 125928900 is about 501.2354780071.

The spelling of 125928900 in words is "one hundred twenty-five million, nine hundred twenty-eight thousand, nine hundred".