125538263424 has 720 divisors, whose sum is σ = 447960736860. Its totient is φ = 34993244160.

The previous prime is 125538263419. The next prime is 125538263479. The reversal of 125538263424 is 424362835521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125538263424 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 8 + 2 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125538263424.

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 3061908844 + ... + 3061908884.

Almost surely, 2^125538263424 is an apocalyptic number.

125538263424 is a gapful number since it is divisible by the number (14) 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 125538263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223980368430).

125538263424 is an abundant number, since it is smaller than the sum of its proper divisors (322422473436).

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

125538263424 is an frugal number, since it uses more digits than its factorization.

125538263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 53 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 125538263424 in words is "one hundred twenty-five billion, five hundred thirty-eight million, two hundred sixty-three thousand, four hundred twenty-four".