125126240 has 48 divisors (see below), whose sum is σ = 296663472. Its totient is φ = 49872384.

The previous prime is 125126237. The next prime is 125126249. The reversal of 125126240 is 42621521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125126249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49487 + ... + 51953.

It is an arithmetic number, because the mean of its divisors is an integer number (6180489).

Almost surely, 2^125126240 is an apocalyptic number.

125126240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148331736).

125126240 is an abundant number, since it is smaller than the sum of its proper divisors (171537232).

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

125126240 is a wasteful number, since it uses less digits than its factorization.

125126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 125126240 is about 11185.9840872406. The cubic root of 125126240 is about 500.1682633685.

Adding to 125126240 its reverse (42621521), we get a palindrome (167747761).

The spelling of 125126240 in words is "one hundred twenty-five million, one hundred twenty-six thousand, two hundred forty".