125528616 has 80 divisors (see below), whose sum is σ = 353300640. Its totient is φ = 41640480.

The previous prime is 125528609. The next prime is 125528647. The reversal of 125528616 is 616825521.

125528616 is a `hidden beast` number, since 12 + 5 + 5 + 28 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198621 + ... + 199251.

It is an arithmetic number, because the mean of its divisors is an integer number (4416258).

Almost surely, 2^125528616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125528616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176650320).

125528616 is an abundant number, since it is smaller than the sum of its proper divisors (227772024).

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

125528616 is a wasteful number, since it uses less digits than its factorization.

125528616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 125528616 is about 11203.9553729922. The cubic root of 125528616 is about 500.7038301148.

The spelling of 125528616 in words is "one hundred twenty-five million, five hundred twenty-eight thousand, six hundred sixteen".