134301404160 has 2112 divisors, whose sum is σ = 635629854720. Its totient is φ = 26276659200.

The previous prime is 134301404087. The next prime is 134301404177. The reversal of 134301404160 is 61404103431.

134301404160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3629767662 + ... + 3629767698.

Almost surely, 2^134301404160 is an apocalyptic number.

134301404160 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 134301404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317814927360).

134301404160 is an abundant number, since it is smaller than the sum of its proper divisors (501328450560).

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

134301404160 is a wasteful number, since it uses less digits than its factorization.

134301404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 134301404160 its reverse (61404103431), we get a palindrome (195705507591).

The spelling of 134301404160 in words is "one hundred thirty-four billion, three hundred one million, four hundred four thousand, one hundred sixty".