134345334221224 has 192 divisors, whose sum is σ = 302850311702400. Its totient is φ = 54690348206592.

The previous prime is 134345334221201. The next prime is 134345334221233. The reversal of 134345334221224 is 422122433543431.

It is a super-3 number, since 3×134345334221224³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 8846066959 + ... + 8846082145.

It is an arithmetic number, because the mean of its divisors is an integer number (1577345373450).

Almost surely, 2^{134345334221224} is an apocalyptic number.

134345334221224 is a gapful number since it is divisible by the number (14) 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 134345334221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151425155851200).

134345334221224 is an abundant number, since it is smaller than the sum of its proper divisors (168504977481176).

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

134345334221224 is a wasteful number, since it uses less digits than its factorization.

134345334221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17585 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 43.

Adding to 134345334221224 its reverse (422122433543431), we get a palindrome (556467767764655).

The spelling of 134345334221224 in words is "one hundred thirty-four trillion, three hundred forty-five billion, three hundred thirty-four million, two hundred twenty-one thousand, two hundred twenty-four".