134241030144 has 624 divisors, whose sum is σ = 459393217920. Its totient is φ = 37371248640.

The previous prime is 134241030127. The next prime is 134241030149. The reversal of 134241030144 is 441030142431.

134241030144 is a `hidden beast` number, since 1 + 342 + 4 + 10 + 301 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×134241030144³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134241030149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209424064 + ... + 209424704.

It is an arithmetic number, because the mean of its divisors is an integer number (736207080).

Almost surely, 2^134241030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134241030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229696608960).

134241030144 is an abundant number, since it is smaller than the sum of its proper divisors (325152187776).

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

134241030144 is a wasteful number, since it uses less digits than its factorization.

134241030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134241030144 its reverse (441030142431), we get a palindrome (575271172575).

The spelling of 134241030144 in words is "one hundred thirty-four billion, two hundred forty-one million, thirty thousand, one hundred forty-four".