125140633113056 has 192 divisors, whose sum is σ = 282377184832512. Its totient is φ = 54035942400000.

The previous prime is 125140633113043. The next prime is 125140633113073. The reversal of 125140633113056 is 650311336041521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6749391146 + ... + 6749409686.

It is an arithmetic number, because the mean of its divisors is an integer number (1470714504336).

Almost surely, 2^{125140633113056} is an apocalyptic number.

125140633113056 is a gapful number since it is divisible by the number (16) 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 125140633113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141188592416256).

125140633113056 is an abundant number, since it is smaller than the sum of its proper divisors (157236551719456).

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

125140633113056 is a wasteful number, since it uses less digits than its factorization.

125140633113056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24257 (or 24249 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

Adding to 125140633113056 its reverse (650311336041521), we get a palindrome (775451969154577).

The spelling of 125140633113056 in words is "one hundred twenty-five trillion, one hundred forty billion, six hundred thirty-three million, one hundred thirteen thousand, fifty-six".