125966250 has 60 divisors (see below), whose sum is σ = 341079882. Its totient is φ = 33588000.

The previous prime is 125966207. The next prime is 125966273. The reversal of 125966250 is 52669521.

125966250 is a `hidden beast` number, since 1 + 2 + 596 + 62 + 5 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 145161 + 125821089 = 381^2 + 11217^2 .

It is a super-2 number, since 2×125966250² = 31734992278125000, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 5652 + ... + 16848.

Almost surely, 2^125966250 is an apocalyptic number.

125966250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125966250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170539941).

125966250 is an abundant number, since it is smaller than the sum of its proper divisors (215113632).

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

125966250 is a wasteful number, since it uses less digits than its factorization.

125966250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 125966250 is about 11223.4687151522. The cubic root of 125966250 is about 501.2850279106.

It can be divided in two parts, 1259662 and 50, that added together give a cube (1259712 = 108³).

The spelling of 125966250 in words is "one hundred twenty-five million, nine hundred sixty-six thousand, two hundred fifty".