144052100 has 36 divisors (see below), whose sum is σ = 321049764. Its totient is φ = 56062080.

The previous prime is 144052093. The next prime is 144052109. The reversal of 144052100 is 1250441.

144052100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11710084 + 132342016 = 3422^2 + 11504^2 .

It is not an unprimeable number, because it can be changed into a prime (144052109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15767 + ... + 23166.

It is an arithmetic number, because the mean of its divisors is an integer number (8918049).

Almost surely, 2^144052100 is an apocalyptic number.

144052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144052100 is an abundant number, since it is smaller than the sum of its proper divisors (176997664).

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

144052100 is a wasteful number, since it uses less digits than its factorization.

144052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38984 (or 38977 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 144052100 is about 12002.1706370140. The cubic root of 144052100 is about 524.2114844727.

The spelling of 144052100 in words is "one hundred forty-four million, fifty-two thousand, one hundred".