125742048 has 48 divisors (see below), whose sum is σ = 333804240. Its totient is φ = 41440256.

The previous prime is 125742037. The next prime is 125742077. The reversal of 125742048 is 840247521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×125742048² = 31622125270468608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 15902.

It is an arithmetic number, because the mean of its divisors is an integer number (6954255).

Almost surely, 2^125742048 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 125742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166902120).

125742048 is an abundant number, since it is smaller than the sum of its proper divisors (208062192).

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

125742048 is a wasteful number, since it uses less digits than its factorization.

125742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14811 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 125742048 is about 11213.4761782420. The cubic root of 125742048 is about 500.9874459506.

Adding to 125742048 its reverse (840247521), we get a palindrome (965989569).

The spelling of 125742048 in words is "one hundred twenty-five million, seven hundred forty-two thousand, forty-eight".