144514560 has 160 divisors (see below), whose sum is σ = 477683712. Its totient is φ = 37232640.

The previous prime is 144514553. The next prime is 144514571. The reversal of 144514560 is 65415441.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237777 + ... + 238383.

Almost surely, 2^144514560 is an apocalyptic number.

144514560 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 144514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238841856).

144514560 is an abundant number, since it is smaller than the sum of its proper divisors (333169152).

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

144514560 is an equidigital number, since it uses as much as digits as its factorization.

144514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 144514560 is about 12021.4208810772. The cubic root of 144514560 is about 524.7718555202.

The spelling of 144514560 in words is "one hundred forty-four million, five hundred fourteen thousand, five hundred sixty".