144668160 has 640 divisors, whose sum is σ = 659957760. Its totient is φ = 29196288.

The previous prime is 144668143. The next prime is 144668171. The reversal of 144668160 is 61866441.

144668160 = 159³ + 160³ + ... + 186³.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289909 + ... + 6289931.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^144668160 is an apocalyptic number.

144668160 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 144668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

144668160 is an abundant number, since it is smaller than the sum of its proper divisors (515289600).

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

144668160 is a wasteful number, since it uses less digits than its factorization.

144668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144668160 is about 12027.8077803064. The cubic root of 144668160 is about 524.9577108794.

The spelling of 144668160 in words is "one hundred forty-four million, six hundred sixty-eight thousand, one hundred sixty".