134707944960 has 480 divisors, whose sum is σ = 495156879360. Its totient is φ = 33749581824.

The previous prime is 134707944901. The next prime is 134707944961. The reversal of 134707944960 is 69449707431.

134707944960 is a `hidden beast` number, since 1 + 3 + 4 + 70 + 79 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×134707944960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134707944897 and 134707944906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134707944961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55594309 + ... + 55596731.

It is an arithmetic number, because the mean of its divisors is an integer number (1031576832).

Almost surely, 2^134707944960 is an apocalyptic number.

134707944960 is a gapful number since it is divisible by the number (10) 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 134707944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247578439680).

134707944960 is an abundant number, since it is smaller than the sum of its proper divisors (360448934400).

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

134707944960 is a wasteful number, since it uses less digits than its factorization.

134707944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 134707944960 in words is "one hundred thirty-four billion, seven hundred seven million, nine hundred forty-four thousand, nine hundred sixty".