125536986609120 has 384 divisors, whose sum is σ = 442509638215680. Its totient is φ = 33238556928000.

The previous prime is 125536986609079. The next prime is 125536986609137. The reversal of 125536986609120 is 21906689635521.

125536986609120 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 6 + 9 + 8 + 6 + 609 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561155527 + ... + 561379193.

It is an arithmetic number, because the mean of its divisors is an integer number (1152368849520).

Almost surely, 2^{125536986609120} is an apocalyptic number.

125536986609120 is a gapful number since it is divisible by the number (10) 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 125536986609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221254819107840).

125536986609120 is an abundant number, since it is smaller than the sum of its proper divisors (316972651606560).

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

125536986609120 is a wasteful number, since it uses less digits than its factorization.

125536986609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224615 (or 224601 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 125536986609120 in words is "one hundred twenty-five trillion, five hundred thirty-six billion, nine hundred eighty-six million, six hundred nine thousand, one hundred twenty".