125188416 has 280 divisors, whose sum is σ = 413064960. Its totient is φ = 37324800.

The previous prime is 125188403. The next prime is 125188421. The reversal of 125188416 is 614881521.

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

Its product of digits (15360) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053356 + ... + 3053396.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2^125188416 is an apocalyptic number.

125188416 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 125188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532480).

125188416 is an abundant number, since it is smaller than the sum of its proper divisors (287876544).

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

125188416 is a wasteful number, since it uses less digits than its factorization.

125188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 125188416 is about 11188.7629343015. The cubic root of 125188416 is about 500.2510952146.

The spelling of 125188416 in words is "one hundred twenty-five million, one hundred eighty-eight thousand, four hundred sixteen".