125828880 has 40 divisors (see below), whose sum is σ = 390070272. Its totient is φ = 33554304.

The previous prime is 125828867. The next prime is 125828893. The reversal of 125828880 is 88828521.

It is an interprime number because it is at equal distance from previous prime (125828867) and next prime (125828893).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261904 + ... + 262383.

Almost surely, 2^125828880 is an apocalyptic number.

125828880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125828880 is an abundant number, since it is smaller than the sum of its proper divisors (264241392).

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

125828880 is a wasteful number, since it uses less digits than its factorization.

125828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524303 (or 524297 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 125828880 is about 11217.3472799945. The cubic root of 125828880 is about 501.1027394767.

The spelling of 125828880 in words is "one hundred twenty-five million, eight hundred twenty-eight thousand, eight hundred eighty".