134224214320 has 160 divisors (see below), whose sum is σ = 364262400000. Its totient is φ = 45977912064.

The previous prime is 134224214281. The next prime is 134224214329. The reversal of 134224214320 is 23412422431.

It is a super-2 number, since 2×134224214320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (134224214329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54851337 + ... + 54853783.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640000).

Almost surely, 2^134224214320 is an apocalyptic number.

134224214320 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 134224214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200000).

134224214320 is an abundant number, since it is smaller than the sum of its proper divisors (230038185680).

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

134224214320 is a wasteful number, since it uses less digits than its factorization.

134224214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 134224214320 its reverse (23412422431), we get a palindrome (157636636751).

The spelling of 134224214320 in words is "one hundred thirty-four billion, two hundred twenty-four million, two hundred fourteen thousand, three hundred twenty".