125651816676 has 135 divisors (see below), whose sum is σ = 336419182099. Its totient is φ = 40894956432.

The previous prime is 125651816669. The next prime is 125651816681. The reversal of 125651816676 is 676618156521.

The square root of 125651816676 is 354474.

It is a perfect power (a square), and thus also a powerful number.

125651816676 is a `hidden beast` number, since 1 + 2 + 56 + 518 + 1 + 6 + 6 + 76 = 666.

It is a super-2 number, since 2×125651816676² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299884795 + ... + 299885213.

Almost surely, 2^125651816676 is an apocalyptic number.

125651816676 is the 354474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125651816676

125651816676 is an abundant number, since it is smaller than the sum of its proper divisors (210767365423).

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

125651816676 is an frugal number, since it uses more digits than its factorization.

125651816676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 471 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 125651816676 in words is "one hundred twenty-five billion, six hundred fifty-one million, eight hundred sixteen thousand, six hundred seventy-six".