134223243122400 has 144 divisors (see below), whose sum is σ = 437035953002544. Its totient is φ = 35781452922880.

The previous prime is 134223243122399. The next prime is 134223243122431. The reversal of 134223243122400 is 4221342322431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385187 + ... + 16442786.

It is an arithmetic number, because the mean of its divisors is an integer number (3034971895851).

Almost surely, 2^{134223243122400} is an apocalyptic number.

134223243122400 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 134223243122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218517976501272).

134223243122400 is an abundant number, since it is smaller than the sum of its proper divisors (302812709880144).

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

134223243122400 is a wasteful number, since it uses less digits than its factorization.

134223243122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831133 (or 17831120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 134223243122400 its reverse (4221342322431), we get a palindrome (138444585444831).

The spelling of 134223243122400 in words is "one hundred thirty-four trillion, two hundred twenty-three billion, two hundred forty-three million, one hundred twenty-two thousand, four hundred".