125253140 has 48 divisors (see below), whose sum is σ = 271849872. Its totient is φ = 48439296.

The previous prime is 125253131. The next prime is 125253169. The reversal of 125253140 is 41352521.

It can be written as a sum of positive squares in 8 ways, for example, as 5438224 + 119814916 = 2332^2 + 10946^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142382 + ... + 143258.

It is an arithmetic number, because the mean of its divisors is an integer number (5663539).

Almost surely, 2^125253140 is an apocalyptic number.

125253140 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 125253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924936).

125253140 is an abundant number, since it is smaller than the sum of its proper divisors (146596732).

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

125253140 is a wasteful number, since it uses less digits than its factorization.

125253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 125253140 is about 11191.6549267747. The cubic root of 125253140 is about 500.3372924165.

The spelling of 125253140 in words is "one hundred twenty-five million, two hundred fifty-three thousand, one hundred forty".