144361320 has 128 divisors (see below), whose sum is σ = 449159040. Its totient is φ = 37094400.

The previous prime is 144361307. The next prime is 144361337. The reversal of 144361320 is 23163441.

144361320 = T₁₆₄₀ + T₁₆₄₁ + ... + T₁₇₄₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 521022 + ... + 521298.

It is an arithmetic number, because the mean of its divisors is an integer number (3509055).

Almost surely, 2^144361320 is an apocalyptic number.

144361320 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 144361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224579520).

144361320 is an abundant number, since it is smaller than the sum of its proper divisors (304797720).

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

144361320 is a wasteful number, since it uses less digits than its factorization.

144361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 144361320 is about 12015.0455679535. The cubic root of 144361320 is about 524.5863044826.

The spelling of 144361320 in words is "one hundred forty-four million, three hundred sixty-one thousand, three hundred twenty".