125598816 has 192 divisors, whose sum is σ = 441100800. Its totient is φ = 33965568.

The previous prime is 125598793. The next prime is 125598841. The reversal of 125598816 is 618895521.

It is a happy number.

125598816 is a `hidden beast` number, since 1 + 2 + 559 + 88 + 16 = 666.

It is a congruent number.

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, 114366 + ... + 115458.

It is an arithmetic number, because the mean of its divisors is an integer number (2297400).

Almost surely, 2^125598816 is an apocalyptic number.

125598816 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 125598816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220550400).

125598816 is an abundant number, since it is smaller than the sum of its proper divisors (315501984).

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

125598816 is a wasteful number, since it uses less digits than its factorization.

125598816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 125598816 is about 11207.0877573079. The cubic root of 125598816 is about 500.7971497624.

The spelling of 125598816 in words is "one hundred twenty-five million, five hundred ninety-eight thousand, eight hundred sixteen".