134320414200 has 192 divisors, whose sum is σ = 476066315520. Its totient is φ = 30689664000.

The previous prime is 134320414199. The next prime is 134320414201. The reversal of 134320414200 is 2414023431.

It is an interprime number because it is at equal distance from previous prime (134320414199) and next prime (134320414201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134320414201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14657620 + ... + 14666780.

It is an arithmetic number, because the mean of its divisors is an integer number (2479512060).

Almost surely, 2^134320414200 is an apocalyptic number.

134320414200 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 134320414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238033157760).

134320414200 is an abundant number, since it is smaller than the sum of its proper divisors (341745901320).

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

134320414200 is a wasteful number, since it uses less digits than its factorization.

134320414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678 (or 12669 counting only the distinct ones).

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

Adding to 134320414200 its reverse (2414023431), we get a palindrome (136734437631).

The spelling of 134320414200 in words is "one hundred thirty-four billion, three hundred twenty million, four hundred fourteen thousand, two hundred".