125825160 has 128 divisors (see below), whose sum is σ = 410728320. Its totient is φ = 30707712.

The previous prime is 125825159. The next prime is 125825173. The reversal of 125825160 is 61528521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 74647 + ... + 76313.

It is an arithmetic number, because the mean of its divisors is an integer number (3208815).

Almost surely, 2^125825160 is an apocalyptic number.

125825160 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 125825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205364160).

125825160 is an abundant number, since it is smaller than the sum of its proper divisors (284903160).

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

125825160 is a wasteful number, since it uses less digits than its factorization.

125825160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 125825160 is about 11217.1814641647. The cubic root of 125825160 is about 501.0978012342.

The spelling of 125825160 in words is "one hundred twenty-five million, eight hundred twenty-five thousand, one hundred sixty".