144200880 has 240 divisors, whose sum is σ = 519966720. Its totient is φ = 35707392.

The previous prime is 144200843. The next prime is 144200893. The reversal of 144200880 is 88002441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135377 + ... + 1135503.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^144200880 is an apocalyptic number.

144200880 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 144200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

144200880 is an abundant number, since it is smaller than the sum of its proper divisors (375765840).

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

144200880 is a wasteful number, since it uses less digits than its factorization.

144200880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 144200880 is about 12008.3670829968. The cubic root of 144200880 is about 524.3918945452.

The spelling of 144200880 in words is "one hundred forty-four million, two hundred thousand, eight hundred eighty".