144976000 has 256 divisors, whose sum is σ = 421031520. Its totient is φ = 49152000.

The previous prime is 144975989. The next prime is 144976001. The reversal of 144976000 is 679441.

It can be written as a sum of positive squares in 16 ways, for example, as 38638656 + 106337344 = 6216^2 + 10312^2 .

It is not an unprimeable number, because it can be changed into a prime (144976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535980 + ... + 3536020.

Almost surely, 2^144976000 is an apocalyptic number.

144976000 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 144976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

144976000 is an abundant number, since it is smaller than the sum of its proper divisors (276055520).

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

144976000 is a wasteful number, since it uses less digits than its factorization.

144976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 144976000 is about 12040.5979917943. The cubic root of 144976000 is about 525.3298003376.

It can be divided in two parts, 144 and 976000, that added together give a square (976144 = 988²).

The spelling of 144976000 in words is "one hundred forty-four million, nine hundred seventy-six thousand".