125538816 has 80 divisors (see below), whose sum is σ = 360226944. Its totient is φ = 38621184.

The previous prime is 125538811. The next prime is 125538827. The reversal of 125538816 is 618835521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (125538811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16825 + ... + 23111.

Almost surely, 2^125538816 is an apocalyptic number.

125538816 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 125538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180113472).

125538816 is an abundant number, since it is smaller than the sum of its proper divisors (234688128).

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

125538816 is an equidigital number, since it uses as much as digits as its factorization.

125538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6305 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 125538816 is about 11204.4105601321. The cubic root of 125538816 is about 500.7173915398.

The spelling of 125538816 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, eight hundred sixteen".