125442864 has 320 divisors, whose sum is σ = 428544000. Its totient is φ = 34836480.

The previous prime is 125442803. The next prime is 125442899. The reversal of 125442864 is 468244521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4046529 + ... + 4046559.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^125442864 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 125442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

125442864 is an abundant number, since it is smaller than the sum of its proper divisors (303101136).

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

125442864 is a wasteful number, since it uses less digits than its factorization.

125442864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 125442864 is about 11200.1278564131. The cubic root of 125442864 is about 500.5897893568.

The spelling of 125442864 in words is "one hundred twenty-five million, four hundred forty-two thousand, eight hundred sixty-four".