125459264739600 has 675 divisors, whose sum is σ = 495004941480511. Its totient is φ = 30408990796800.

The previous prime is 125459264739587. The next prime is 125459264739623. The reversal of 125459264739600 is 6937462954521.

It is a happy number.

The square root of 125459264739600 is 11200860.

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

125459264739600 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 59 + 26 + 473 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40734161758224 + 84725102981376 = 6382332^2 + 9204624^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22177699972 + ... + 22177705628.

Almost surely, 2^{125459264739600} is an apocalyptic number.

125459264739600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125459264739600 is the 11200860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125459264739600

125459264739600 is an abundant number, since it is smaller than the sum of its proper divisors (369545676740911).

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

125459264739600 is an frugal number, since it uses more digits than its factorization.

125459264739600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 125459264739600 in words is "one hundred twenty-five trillion, four hundred fifty-nine billion, two hundred sixty-four million, seven hundred thirty-nine thousand, six hundred".