13134119040 has 192 divisors, whose sum is σ = 51833021760. Its totient is φ = 3002075136.

The previous prime is 13134119017. The next prime is 13134119059. The reversal of 13134119040 is 4091143131.

13134119040 is a `hidden beast` number, since 131 + 341 + 190 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 13134118995 and 13134119013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122554 + ... + 203193.

It is an arithmetic number, because the mean of its divisors is an integer number (269963655).

Almost surely, 2^13134119040 is an apocalyptic number.

13134119040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134119040 is an abundant number, since it is smaller than the sum of its proper divisors (38698902720).

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

13134119040 is a wasteful number, since it uses less digits than its factorization.

13134119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325779 (or 325764 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13134119040 in words is "thirteen billion, one hundred thirty-four million, one hundred nineteen thousand, forty".