144132000400 has 60 divisors (see below), whose sum is σ = 347555167744. Its totient is φ = 57440016000.

The previous prime is 144132000361. The next prime is 144132000401. The reversal of 144132000400 is 4000231441.

144132000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144132000401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 556416 + ... + 773215.

Almost surely, 2^144132000400 is an apocalyptic number.

144132000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132000400 is an abundant number, since it is smaller than the sum of its proper divisors (203423167344).

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

144132000400 is a wasteful number, since it uses less digits than its factorization.

144132000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329920 (or 1329909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 144132000400 its reverse (4000231441), we get a palindrome (148132231841).

The spelling of 144132000400 in words is "one hundred forty-four billion, one hundred thirty-two million, four hundred", and thus it is an aban number.