125753860 has 48 divisors (see below), whose sum is σ = 275128560. Its totient is φ = 48222720.

The previous prime is 125753821. The next prime is 125753867. The reversal of 125753860 is 68357521.

It can be written as a sum of positive squares in 8 ways, for example, as 4401604 + 121352256 = 2098^2 + 11016^2 .

It is not an unprimeable number, because it can be changed into a prime (125753867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90370 + ... + 91750.

It is an arithmetic number, because the mean of its divisors is an integer number (5731845).

Almost surely, 2^125753860 is an apocalyptic number.

125753860 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 125753860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137564280).

125753860 is an abundant number, since it is smaller than the sum of its proper divisors (149374700).

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

125753860 is a wasteful number, since it uses less digits than its factorization.

125753860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 125753860 is about 11214.0028535755. The cubic root of 125753860 is about 501.0031327701.

The spelling of 125753860 in words is "one hundred twenty-five million, seven hundred fifty-three thousand, eight hundred sixty".