125637951744 has 216 divisors, whose sum is σ = 395437063840. Its totient is φ = 39674769408.

The previous prime is 125637951739. The next prime is 125637951799. The reversal of 125637951744 is 447159736521.

125637951744 is a `hidden beast` number, since 1 + 2 + 56 + 3 + 79 + 517 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128804 + ... + 1235100.

Almost surely, 2^125637951744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125637951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197718531920).

125637951744 is an abundant number, since it is smaller than the sum of its proper divisors (269799112096).

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

125637951744 is an equidigital number, since it uses as much as digits as its factorization.

125637951744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106347 (or 106321 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 125637951744 in words is "one hundred twenty-five billion, six hundred thirty-seven million, nine hundred fifty-one thousand, seven hundred forty-four".