125658816 has 56 divisors (see below), whose sum is σ = 334548480. Its totient is φ = 41624832.

The previous prime is 125658803. The next prime is 125658859. The reversal of 125658816 is 618856521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30105 + ... + 34023.

It is an arithmetic number, because the mean of its divisors is an integer number (5974080).

Almost surely, 2^125658816 is an apocalyptic number.

125658816 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 125658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167274240).

125658816 is an abundant number, since it is smaller than the sum of its proper divisors (208889664).

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

125658816 is a wasteful number, since it uses less digits than its factorization.

125658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4091 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 125658816 is about 11209.7643150960. The cubic root of 125658816 is about 500.8768825882.

The spelling of 125658816 in words is "one hundred twenty-five million, six hundred fifty-eight thousand, eight hundred sixteen".