134125899768 has 384 divisors, whose sum is σ = 436419809280. Its totient is φ = 36410204160.

The previous prime is 134125899749. The next prime is 134125899773. The reversal of 134125899768 is 867998521431.

134125899768 is a `hidden beast` number, since 1 + 3 + 41 + 2 + 589 + 9 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379959880 + ... + 379960232.

It is an arithmetic number, because the mean of its divisors is an integer number (1136509920).

Almost surely, 2^134125899768 is an apocalyptic number.

134125899768 is a gapful number since it is divisible by the number (18) 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 134125899768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218209904640).

134125899768 is an abundant number, since it is smaller than the sum of its proper divisors (302293909512).

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

134125899768 is a wasteful number, since it uses less digits than its factorization.

134125899768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 134125899768 in words is "one hundred thirty-four billion, one hundred twenty-five million, eight hundred ninety-nine thousand, seven hundred sixty-eight".