125668224 has 192 divisors, whose sum is σ = 404801280. Its totient is φ = 37094400.

The previous prime is 125668219. The next prime is 125668229. The reversal of 125668224 is 422866521.

It is a happy number.

125668224 is a `hidden beast` number, since 12 + 566 + 82 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (125668219) and next prime (125668229).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125668229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595479 + ... + 595689.

It is an arithmetic number, because the mean of its divisors is an integer number (2108340).

Almost surely, 2^125668224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202400640).

125668224 is an abundant number, since it is smaller than the sum of its proper divisors (279133056).

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

125668224 is a wasteful number, since it uses less digits than its factorization.

125668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 125668224 is about 11210.1839413990. The cubic root of 125668224 is about 500.8893823932.

The spelling of 125668224 in words is "one hundred twenty-five million, six hundred sixty-eight thousand, two hundred twenty-four".