144641133000 has 1536 divisors, whose sum is σ = 647174062080. Its totient is φ = 29393280000.

The previous prime is 144641132957. The next prime is 144641133017. The reversal of 144641133000 is 331146441.

144641133000 is a `hidden beast` number, since 1 + 4 + 4 + 641 + 13 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 685502895 + ... + 685503105.

It is an arithmetic number, because the mean of its divisors is an integer number (421337280).

Almost surely, 2^144641133000 is an apocalyptic number.

144641133000 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 144641133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323587031040).

144641133000 is an abundant number, since it is smaller than the sum of its proper divisors (502532929080).

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

144641133000 is a wasteful number, since it uses less digits than its factorization.

144641133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144641133000 its reverse (331146441), we get a palindrome (144972279441).

The spelling of 144641133000 in words is "one hundred forty-four billion, six hundred forty-one million, one hundred thirty-three thousand".