125764416 has 84 divisors (see below), whose sum is σ = 372960900. Its totient is φ = 40470528.

The previous prime is 125764399. The next prime is 125764421. The reversal of 125764416 is 614467521.

125764416 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 72182016 = 7320^2 + 8496^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 12940 + ... + 20468.

Almost surely, 2^125764416 is an apocalyptic number.

125764416 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 125764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186480450).

125764416 is an abundant number, since it is smaller than the sum of its proper divisors (247196484).

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

125764416 is a wasteful number, since it uses less digits than its factorization.

125764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7563 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 125764416 is about 11214.4735052520. The cubic root of 125764416 is about 501.0171507390.

The spelling of 125764416 in words is "one hundred twenty-five million, seven hundred sixty-four thousand, four hundred sixteen".