144002880 has 224 divisors, whose sum is σ = 580826880. Its totient is φ = 32901120.

The previous prime is 144002879. The next prime is 144002891. The reversal of 144002880 is 88200441.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59290 + ... + 61670.

Almost surely, 2^144002880 is an apocalyptic number.

144002880 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 144002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290413440).

144002880 is an abundant number, since it is smaller than the sum of its proper divisors (436824000).

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

144002880 is a wasteful number, since it uses less digits than its factorization.

144002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 144002880 is about 12000.1199994000. The cubic root of 144002880 is about 524.1517731403.

The spelling of 144002880 in words is "one hundred forty-four million, two thousand, eight hundred eighty".