144813060 has 288 divisors, whose sum is σ = 553512960. Its totient is φ = 29880576.

The previous prime is 144813049. The next prime is 144813073. The reversal of 144813060 is 60318441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550489 + ... + 550751.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^144813060 is an apocalyptic number.

144813060 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 144813060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

144813060 is an abundant number, since it is smaller than the sum of its proper divisors (408699900).

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

144813060 is a wasteful number, since it uses less digits than its factorization.

144813060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144813060 is about 12033.8298143193. The cubic root of 144813060 is about 525.1329187259.

The spelling of 144813060 in words is "one hundred forty-four million, eight hundred thirteen thousand, sixty".