144268560 has 80 divisors (see below), whose sum is σ = 496932480. Its totient is φ = 38471040.

The previous prime is 144268559. The next prime is 144268601. The reversal of 144268560 is 65862441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 31236 + ... + 35555.

It is an arithmetic number, because the mean of its divisors is an integer number (6211656).

Almost surely, 2^144268560 is an apocalyptic number.

144268560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144268560 is an abundant number, since it is smaller than the sum of its proper divisors (352663920).

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

144268560 is a wasteful number, since it uses less digits than its factorization.

144268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66813 (or 66801 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144268560 is about 12011.1847875220. The cubic root of 144268560 is about 524.4739219975.

The spelling of 144268560 in words is "one hundred forty-four million, two hundred sixty-eight thousand, five hundred sixty".