125957160 has 128 divisors (see below), whose sum is σ = 479865600. Its totient is φ = 28788480.

The previous prime is 125957159. The next prime is 125957197. The reversal of 125957160 is 61759521.

125957160 is a `hidden beast` number, since 1 + 2 + 595 + 7 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (3748950).

Almost surely, 2^125957160 is an apocalyptic number.

125957160 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 125957160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239932800).

125957160 is an abundant number, since it is smaller than the sum of its proper divisors (353908440).

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

125957160 is a wasteful number, since it uses less digits than its factorization.

125957160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 125957160 is about 11223.0637528261. The cubic root of 125957160 is about 501.2729696793.

The spelling of 125957160 in words is "one hundred twenty-five million, nine hundred fifty-seven thousand, one hundred sixty".