125968900 has 18 divisors (see below), whose sum is σ = 273352730. Its totient is φ = 50387520.

The previous prime is 125968891. The next prime is 125968901. The reversal of 125968900 is 9869521.

It can be written as a sum of positive squares in 3 ways, for example, as 3069504 + 122899396 = 1752^2 + 11086^2 .

It is not an unprimeable number, because it can be changed into a prime (125968901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 629745 + ... + 629944.

Almost surely, 2^125968900 is an apocalyptic number.

125968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125968900 is an abundant number, since it is smaller than the sum of its proper divisors (147383830).

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

125968900 is a wasteful number, since it uses less digits than its factorization.

125968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259703 (or 1259696 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 125968900 is about 11223.5867707253. The cubic root of 125968900 is about 501.2885431273.

The spelling of 125968900 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, nine hundred".