125828160 has 56 divisors (see below), whose sum is σ = 399507456. Its totient is φ = 33553920.

The previous prime is 125828159. The next prime is 125828161. The reversal of 125828160 is 61828521.

It is an interprime number because it is at equal distance from previous prime (125828159) and next prime (125828161).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (125828161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64576 + ... + 66495.

Almost surely, 2^125828160 is an apocalyptic number.

125828160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125828160 is an abundant number, since it is smaller than the sum of its proper divisors (273679296).

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

125828160 is a wasteful number, since it uses less digits than its factorization.

125828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131091 (or 131081 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 125828160 is about 11217.3151867994. The cubic root of 125828160 is about 501.1017836954.

The spelling of 125828160 in words is "one hundred twenty-five million, eight hundred twenty-eight thousand, one hundred sixty".