125334681696 has 192 divisors, whose sum is σ = 427972930560. Its totient is φ = 34936427520.

The previous prime is 125334681691. The next prime is 125334681713. The reversal of 125334681696 is 696186433521.

125334681696 is a `hidden beast` number, since 1 + 2 + 533 + 4 + 6 + 8 + 16 + 96 = 666.

125334681696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125334681691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756 + ... + 500691.

It is an arithmetic number, because the mean of its divisors is an integer number (2229025680).

Almost surely, 2^125334681696 is an apocalyptic number.

125334681696 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 125334681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213986465280).

125334681696 is an abundant number, since it is smaller than the sum of its proper divisors (302638248864).

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

125334681696 is a wasteful number, since it uses less digits than its factorization.

125334681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505514 (or 505500 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 125334681696 in words is "one hundred twenty-five billion, three hundred thirty-four million, six hundred eighty-one thousand, six hundred ninety-six".