134107934688 has 768 divisors, whose sum is σ = 512096256000. Its totient is φ = 33154873344.

The previous prime is 134107934683. The next prime is 134107934693. The reversal of 134107934688 is 886439701431.

It is an interprime number because it is at equal distance from previous prime (134107934683) and next prime (134107934693).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (134107934683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159842173 + ... + 159843011.

It is an arithmetic number, because the mean of its divisors is an integer number (666792000).

Almost surely, 2^134107934688 is an apocalyptic number.

134107934688 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 134107934688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128000).

134107934688 is an abundant number, since it is smaller than the sum of its proper divisors (377988321312).

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

134107934688 is a wasteful number, since it uses less digits than its factorization.

134107934688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 134107934688 in words is "one hundred thirty-four billion, one hundred seven million, nine hundred thirty-four thousand, six hundred eighty-eight".