125557776 has 100 divisors (see below), whose sum is σ = 382602000. Its totient is φ = 39642048.

The previous prime is 125557771. The next prime is 125557793. The reversal of 125557776 is 677755521.

It is a happy number.

125557776 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 577 + 76 = 666.

It is a super-2 number, since 2×125557776² = 31529510228132352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125557771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22075 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (3826020).

Almost surely, 2^125557776 is an apocalyptic number.

125557776 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 125557776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301000).

125557776 is an abundant number, since it is smaller than the sum of its proper divisors (257044224).

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

125557776 is a wasteful number, since it uses less digits than its factorization.

125557776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5123 counting only the distinct ones).

The product of its digits is 514500, while the sum is 45.

The square root of 125557776 is about 11205.2566235674. The cubic root of 125557776 is about 500.7425978841.

The spelling of 125557776 in words is "one hundred twenty-five million, five hundred fifty-seven thousand, seven hundred seventy-six".