125249280 has 216 divisors, whose sum is σ = 435396528. Its totient is φ = 30670848.

The previous prime is 125249261. The next prime is 125249317. The reversal of 125249280 is 82942521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648864 + ... + 649056.

Almost surely, 2^125249280 is an apocalyptic number.

125249280 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 125249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217698264).

125249280 is an abundant number, since it is smaller than the sum of its proper divisors (310147248).

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

125249280 is a wasteful number, since it uses less digits than its factorization.

125249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 125249280 is about 11191.4824755258. The cubic root of 125249280 is about 500.3321526337.

The spelling of 125249280 in words is "one hundred twenty-five million, two hundred forty-nine thousand, two hundred eighty".