125712816 has 80 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 39481344.

The previous prime is 125712809. The next prime is 125712823. The reversal of 125712816 is 618217521.

It is an interprime number because it is at equal distance from previous prime (125712809) and next prime (125712823).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279760 + ... + 280208.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^125712816 is an apocalyptic number.

125712816 is a gapful number since it is divisible by the number (16) 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 125712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

125712816 is an abundant number, since it is smaller than the sum of its proper divisors (218015184).

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

125712816 is a wasteful number, since it uses less digits than its factorization.

125712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 125712816 is about 11212.1726708074. The cubic root of 125712816 is about 500.9486204337.

The spelling of 125712816 in words is "one hundred twenty-five million, seven hundred twelve thousand, eight hundred sixteen".