125788416 has 144 divisors (see below), whose sum is σ = 370176576. Its totient is φ = 37675008.

The previous prime is 125788391. The next prime is 125788433. The reversal of 125788416 is 614887521.

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 15 ways as a sum of consecutive naturals, for example, 429166 + ... + 429458.

Almost surely, 2^125788416 is an apocalyptic number.

125788416 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 125788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185088288).

125788416 is an abundant number, since it is smaller than the sum of its proper divisors (244388160).

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

125788416 is a wasteful number, since it uses less digits than its factorization.

125788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 125788416 is about 11215.5434999825. The cubic root of 125788416 is about 501.0490189128.

The spelling of 125788416 in words is "one hundred twenty-five million, seven hundred eighty-eight thousand, four hundred sixteen".