134034014400 has 336 divisors, whose sum is σ = 516624100608. Its totient is φ = 29993472000.

The previous prime is 134034014393. The next prime is 134034014437. The reversal of 134034014400 is 4410430431.

134034014400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 588765 + ... + 784035.

It is an arithmetic number, because the mean of its divisors is an integer number (1537571728).

Almost surely, 2^134034014400 is an apocalyptic number.

134034014400 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 134034014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258312050304).

134034014400 is an abundant number, since it is smaller than the sum of its proper divisors (382590086208).

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

134034014400 is a wasteful number, since it uses less digits than its factorization.

134034014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195320 (or 195305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134034014400 its reverse (4410430431), we get a palindrome (138444444831).

The spelling of 134034014400 in words is "one hundred thirty-four billion, thirty-four million, fourteen thousand, four hundred".