134421124000 has 384 divisors, whose sum is σ = 359610451200. Its totient is φ = 49213440000.

The previous prime is 134421123983. The next prime is 134421124051. The reversal of 134421124000 is 421124431.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 557763880 + ... + 557764120.

It is an arithmetic number, because the mean of its divisors is an integer number (936485550).

Almost surely, 2^134421124000 is an apocalyptic number.

134421124000 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 134421124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179805225600).

134421124000 is an abundant number, since it is smaller than the sum of its proper divisors (225189327200).

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

134421124000 is a wasteful number, since it uses less digits than its factorization.

134421124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 134421124000 its reverse (421124431), we get a palindrome (134842248431).

The spelling of 134421124000 in words is "one hundred thirty-four billion, four hundred twenty-one million, one hundred twenty-four thousand".