144342101000 has 64 divisors (see below), whose sum is σ = 338158482480. Its totient is φ = 57668812800.

The previous prime is 144342100993. The next prime is 144342101023. The reversal of 144342101000 is 101243441.

It can be written as a sum of positive squares in 8 ways, for example, as 5366734564 + 138975366436 = 73258^2 + 372794^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768392 + ... + 937608.

Almost surely, 2^144342101000 is an apocalyptic number.

144342101000 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 144342101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169079241240).

144342101000 is an abundant number, since it is smaller than the sum of its proper divisors (193816381480).

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

144342101000 is a wasteful number, since it uses less digits than its factorization.

144342101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170091 (or 170077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144342101000 its reverse (101243441), we get a palindrome (144443344441).

The spelling of 144342101000 in words is "one hundred forty-four billion, three hundred forty-two million, one hundred one thousand".