144252880 has 40 divisors (see below), whose sum is σ = 336083400. Its totient is φ = 57581568.

The previous prime is 144252869. The next prime is 144252887. The reversal of 144252880 is 88252441.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 130325056 = 3732^2 + 11416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144252887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43936 + ... + 47104.

It is an arithmetic number, because the mean of its divisors is an integer number (8402085).

Almost surely, 2^144252880 is an apocalyptic number.

144252880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144252880 is an abundant number, since it is smaller than the sum of its proper divisors (191830520).

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

144252880 is a wasteful number, since it uses less digits than its factorization.

144252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 144252880 is about 12010.5320448347. The cubic root of 144252880 is about 524.4549202851.

The spelling of 144252880 in words is "one hundred forty-four million, two hundred fifty-two thousand, eight hundred eighty".