125838048 has 96 divisors (see below), whose sum is σ = 379814400. Its totient is φ = 35735040.

The previous prime is 125838023. The next prime is 125838049. The reversal of 125838048 is 840838521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125837997 and 125838015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125838049) 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, 133258 + ... + 134198.

It is an arithmetic number, because the mean of its divisors is an integer number (3956400).

Almost surely, 2^125838048 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 125838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189907200).

125838048 is an abundant number, since it is smaller than the sum of its proper divisors (253976352).

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

125838048 is a wasteful number, since it uses less digits than its factorization.

125838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 125838048 is about 11217.7559253177. The cubic root of 125838048 is about 501.1149094394.

The spelling of 125838048 in words is "one hundred twenty-five million, eight hundred thirty-eight thousand, forty-eight".