125042616 has 80 divisors (see below), whose sum is σ = 370869840. Its totient is φ = 39225600.

The previous prime is 125042587. The next prime is 125042639. The reversal of 125042616 is 616240521.

125042616 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 42 + 616 = 666.

It is a super-2 number, since 2×125042616² = 31271311632246912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 125042616.

It is a congruent number.

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, 5341 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (4635873).

Almost surely, 2^125042616 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 125042616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185434920).

125042616 is an abundant number, since it is smaller than the sum of its proper divisors (245827224).

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

125042616 is a wasteful number, since it uses less digits than its factorization.

125042616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11386 (or 11373 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125042616 is about 11182.2455705462. The cubic root of 125042616 is about 500.0568148772.

The spelling of 125042616 in words is "one hundred twenty-five million, forty-two thousand, six hundred sixteen".