125466528 has 192 divisors, whose sum is σ = 395176320. Its totient is φ = 34406400.

The previous prime is 125466503. The next prime is 125466533. The reversal of 125466528 is 825664521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520488 + ... + 520728.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^125466528 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 125466528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

125466528 is an abundant number, since it is smaller than the sum of its proper divisors (269709792).

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

125466528 is a wasteful number, since it uses less digits than its factorization.

125466528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 125466528 is about 11201.1842231078. The cubic root of 125466528 is about 500.6212650730.

The spelling of 125466528 in words is "one hundred twenty-five million, four hundred sixty-six thousand, five hundred twenty-eight".