125892480 has 512 divisors, whose sum is σ = 528768000. Its totient is φ = 24772608.

The previous prime is 125892479. The next prime is 125892511. The reversal of 125892480 is 84298521.

It is a congruent number.

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, 4341106 + ... + 4341134.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^125892480 is an apocalyptic number.

125892480 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 125892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

125892480 is an abundant number, since it is smaller than the sum of its proper divisors (402875520).

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

125892480 is a wasteful number, since it uses less digits than its factorization.

125892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 125892480 is about 11220.1818167087. The cubic root of 125892480 is about 501.1871524407.

The spelling of 125892480 in words is "one hundred twenty-five million, eight hundred ninety-two thousand, four hundred eighty".