125916816 has 20 divisors (see below), whose sum is σ = 325285232. Its totient is φ = 41972256.

The previous prime is 125916803. The next prime is 125916827. The reversal of 125916816 is 618619521.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1311586 + ... + 1311681.

Almost surely, 2^125916816 is an apocalyptic number.

125916816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125916816 is an abundant number, since it is smaller than the sum of its proper divisors (199368416).

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

125916816 is a wasteful number, since it uses less digits than its factorization.

125916816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623278 (or 2623272 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 125916816 is about 11221.2662387094. The cubic root of 125916816 is about 501.2194448241.

The spelling of 125916816 in words is "one hundred twenty-five million, nine hundred sixteen thousand, eight hundred sixteen".