144900132804 has 144 divisors (see below), whose sum is σ = 422201235456. Its totient is φ = 41044536000.

The previous prime is 144900132749. The next prime is 144900132857. The reversal of 144900132804 is 408231009441.

It is a happy number.

144900132804 is a `hidden beast` number, since 1 + 449 + 0 + 0 + 132 + 80 + 4 = 666.

144900132804 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 (36).

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 47 ways as a sum of consecutive naturals, for example, 61632229 + ... + 61634579.

It is an arithmetic number, because the mean of its divisors is an integer number (2931953024).

Almost surely, 2^144900132804 is an apocalyptic number.

144900132804 is a gapful number since it is divisible by the number (14) 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 144900132804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211100617728).

144900132804 is an abundant number, since it is smaller than the sum of its proper divisors (277301102652).

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

144900132804 is a wasteful number, since it uses less digits than its factorization.

144900132804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 144900132804 in words is "one hundred forty-four billion, nine hundred million, one hundred thirty-two thousand, eight hundred four".