125321616 has 90 divisors (see below), whose sum is σ = 408010902. Its totient is φ = 35804160.

The previous prime is 125321611. The next prime is 125321629. The reversal of 125321616 is 616123521.

125321616 is a `hidden beast` number, since 1 + 25 + 3 + 21 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 25401600 = 9996^2 + 5040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125321616.

It is not an unprimeable number, because it can be changed into a prime (125321611) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1825 + ... + 15936.

Almost surely, 2^125321616 is an apocalyptic number.

125321616 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 125321616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204005451).

125321616 is an abundant number, since it is smaller than the sum of its proper divisors (282689286).

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

125321616 is a wasteful number, since it uses less digits than its factorization.

125321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17789 (or 17773 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 125321616 is about 11194.7137524816. The cubic root of 125321616 is about 500.4284540827.

The spelling of 125321616 in words is "one hundred twenty-five million, three hundred twenty-one thousand, six hundred sixteen".