125481342357504 has 624 divisors, whose sum is σ = 435465557584512. Its totient is φ = 35360548061184.

The previous prime is 125481342357499. The next prime is 125481342357521. The reversal of 125481342357504 is 405753243184521.

125481342357504 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 81 + 3 + 4 + 2 + 3 + 57 + 504 = 666.

It is a super-2 number, since 2×125481342357504² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508489252 + ... + 508735964.

It is an arithmetic number, because the mean of its divisors is an integer number (697861470488).

Almost surely, 2^{125481342357504} is an apocalyptic number.

125481342357504 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 125481342357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217732778792256).

125481342357504 is an abundant number, since it is smaller than the sum of its proper divisors (309984215227008).

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

125481342357504 is an frugal number, since it uses more digits than its factorization.

125481342357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246832 (or 246798 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 125481342357504 in words is "one hundred twenty-five trillion, four hundred eighty-one billion, three hundred forty-two million, three hundred fifty-seven thousand, five hundred four".