125873280 has 288 divisors, whose sum is σ = 479786580. Its totient is φ = 30228480.

The previous prime is 125873221. The next prime is 125873281. The reversal of 125873280 is 82378521.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 125619264 = 504^2 + 11208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (125873281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3070060 + ... + 3070100.

Almost surely, 2^125873280 is an apocalyptic number.

125873280 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 125873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239893290).

125873280 is an abundant number, since it is smaller than the sum of its proper divisors (353913300).

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

125873280 is a wasteful number, since it uses less digits than its factorization.

125873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 125873280 is about 11219.3261829755. The cubic root of 125873280 is about 501.1616722782.

The spelling of 125873280 in words is "one hundred twenty-five million, eight hundred seventy-three thousand, two hundred eighty".