125166513024 has 192 divisors, whose sum is σ = 425828988000. Its totient is φ = 34528628736.

The previous prime is 125166513019. The next prime is 125166513079. The reversal of 125166513024 is 420315661521.

125166513024 is a `hidden beast` number, since 1 + 2 + 516 + 6 + 5 + 130 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125166513024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33759 + ... + 501470.

Almost surely, 2^125166513024 is an apocalyptic number.

125166513024 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 125166513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212914494000).

125166513024 is an abundant number, since it is smaller than the sum of its proper divisors (300662474976).

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

125166513024 is a wasteful number, since it uses less digits than its factorization.

125166513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535285 (or 535270 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 125166513024 in words is "one hundred twenty-five billion, one hundred sixty-six million, five hundred thirteen thousand, twenty-four".