134004003421200 has 480 divisors, whose sum is σ = 472684243891200. Its totient is φ = 32180633856000.

The previous prime is 134004003421193. The next prime is 134004003421207. The reversal of 134004003421200 is 2124300400431.

It is an interprime number because it is at equal distance from previous prime (134004003421193) and next prime (134004003421207).

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

It is not an unprimeable number, because it can be changed into a prime (134004003421207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9523410165 + ... + 9523424235.

It is an arithmetic number, because the mean of its divisors is an integer number (984758841440).

Almost surely, 2^{134004003421200} is an apocalyptic number.

134004003421200 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 134004003421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236342121945600).

134004003421200 is an abundant number, since it is smaller than the sum of its proper divisors (338680240470000).

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

134004003421200 is a wasteful number, since it uses less digits than its factorization.

134004003421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20831 (or 20820 counting only the distinct ones).

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

Adding to 134004003421200 its reverse (2124300400431), we get a palindrome (136128303821631).

The spelling of 134004003421200 in words is "one hundred thirty-four trillion, four billion, three million, four hundred twenty-one thousand, two hundred".