144135134000 has 160 divisors (see below), whose sum is σ = 409449418560. Its totient is φ = 48380928000.

The previous prime is 144135133979. The next prime is 144135134041. The reversal of 144135134000 is 431531441.

It is a happy number.

144135134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 34016 + ... + 537984.

It is an arithmetic number, because the mean of its divisors is an integer number (2559058866).

Almost surely, 2^144135134000 is an apocalyptic number.

144135134000 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 144135134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204724709280).

144135134000 is an abundant number, since it is smaller than the sum of its proper divisors (265314284560).

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

144135134000 is a wasteful number, since it uses less digits than its factorization.

144135134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504016 (or 504000 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 144135134000 its reverse (431531441), we get a palindrome (144566665441).

The spelling of 144135134000 in words is "one hundred forty-four billion, one hundred thirty-five million, one hundred thirty-four thousand".