125221626 has 80 divisors (see below), whose sum is σ = 304615080. Its totient is φ = 38292480.

The previous prime is 125221601. The next prime is 125221631. The reversal of 125221626 is 626122521.

125221626 is a `hidden beast` number, since 12 + 5 + 2 + 21 + 626 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53802225 + 71419401 = 7335^2 + 8451^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 125221626.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112360 + ... + 113468.

Almost surely, 2^125221626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125221626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152307540).

125221626 is an abundant number, since it is smaller than the sum of its proper divisors (179393454).

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

125221626 is a wasteful number, since it uses less digits than its factorization.

125221626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 125221626 is about 11190.2469141659. The cubic root of 125221626 is about 500.2953268631.

The spelling of 125221626 in words is "one hundred twenty-five million, two hundred twenty-one thousand, six hundred twenty-six".