134303551200 has 1728 divisors, whose sum is σ = 625392472320. Its totient is φ = 27555655680.

The previous prime is 134303551199. The next prime is 134303551201. The reversal of 134303551200 is 2155303431.

It is an interprime number because it is at equal distance from previous prime (134303551199) and next prime (134303551201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134303551201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 591645487 + ... + 591645713.

It is an arithmetic number, because the mean of its divisors is an integer number (361916940).

Almost surely, 2^134303551200 is an apocalyptic number.

134303551200 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 134303551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312696236160).

134303551200 is an abundant number, since it is smaller than the sum of its proper divisors (491088921120).

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

134303551200 is a wasteful number, since it uses less digits than its factorization.

134303551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 134303551200 its reverse (2155303431), we get a palindrome (136458854631).

The spelling of 134303551200 in words is "one hundred thirty-four billion, three hundred three million, five hundred fifty-one thousand, two hundred".