134113034400 has 144 divisors (see below), whose sum is σ = 437349070368. Its totient is φ = 35697024000.

The previous prime is 134113034389. The next prime is 134113034437. The reversal of 134113034400 is 4430311431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246755 + ... + 1350045.

It is an arithmetic number, because the mean of its divisors is an integer number (3037146322).

Almost surely, 2^134113034400 is an apocalyptic number.

134113034400 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 134113034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218674535184).

134113034400 is an abundant number, since it is smaller than the sum of its proper divisors (303236035968).

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

134113034400 is a wasteful number, since it uses less digits than its factorization.

134113034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103855 (or 103842 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134113034400 its reverse (4430311431), we get a palindrome (138543345831).

The spelling of 134113034400 in words is "one hundred thirty-four billion, one hundred thirteen million, thirty-four thousand, four hundred".