125920224 has 96 divisors (see below), whose sum is σ = 388916640. Its totient is φ = 39499776.

The previous prime is 125920217. The next prime is 125920229. The reversal of 125920224 is 422029521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125920229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10402 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (4051215).

Almost surely, 2^125920224 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 125920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194458320).

125920224 is an abundant number, since it is smaller than the sum of its proper divisors (262996416).

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

125920224 is a wasteful number, since it uses less digits than its factorization.

125920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8595 counting only the distinct ones).

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

The square root of 125920224 is about 11221.4180922021. The cubic root of 125920224 is about 501.2239666995.

Adding to 125920224 its reverse (422029521), we get a palindrome (547949745).

The spelling of 125920224 in words is "one hundred twenty-five million, nine hundred twenty thousand, two hundred twenty-four".