134808746688 has 1792 divisors, whose sum is σ = 561807360000. Its totient is φ = 31294771200.

The previous prime is 134808746671. The next prime is 134808746689. The reversal of 134808746688 is 886647808431.

134808746688 is a `hidden beast` number, since 1 + 3 + 480 + 8 + 74 + 6 + 6 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134808746689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4348669233 + ... + 4348669263.

Almost surely, 2^134808746688 is an apocalyptic number.

134808746688 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 134808746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680000).

134808746688 is an abundant number, since it is smaller than the sum of its proper divisors (426998613312).

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

134808746688 is a wasteful number, since it uses less digits than its factorization.

134808746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 134808746688 in words is "one hundred thirty-four billion, eight hundred eight million, seven hundred forty-six thousand, six hundred eighty-eight".