144828992900 has 36 divisors (see below), whose sum is σ = 314311692660. Its totient is φ = 57925555200.

The previous prime is 144828992863. The next prime is 144828992929. The reversal of 144828992900 is 9299828441.

It can be written as a sum of positive squares in 6 ways, for example, as 7717271104 + 137111721796 = 87848^2 + 370286^2 .

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 11 ways as a sum of consecutive naturals, for example, 958520 + ... + 1099280.

Almost surely, 2^144828992900 is an apocalyptic number.

144828992900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144828992900 is an abundant number, since it is smaller than the sum of its proper divisors (169482699760).

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

144828992900 is a wasteful number, since it uses less digits than its factorization.

144828992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151064 (or 151057 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 144828992900 in words is "one hundred forty-four billion, eight hundred twenty-eight million, nine hundred ninety-two thousand, nine hundred".