125831160 has 384 divisors, whose sum is σ = 528353280. Its totient is φ = 25242624.

The previous prime is 125831143. The next prime is 125831171. The reversal of 125831160 is 61138521.

125831160 is a `hidden beast` number, since 12 + 583 + 11 + 60 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753397 + ... + 753563.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^125831160 is an apocalyptic number.

125831160 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 125831160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

125831160 is an abundant number, since it is smaller than the sum of its proper divisors (402522120).

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

125831160 is a wasteful number, since it uses less digits than its factorization.

125831160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125831160 is about 11217.4489078400. The cubic root of 125831160 is about 501.1057660933.

Adding to 125831160 its reverse (61138521), we get a palindrome (186969681).

The spelling of 125831160 in words is "one hundred twenty-five million, eight hundred thirty-one thousand, one hundred sixty".