144936560 has 160 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 50319360.

The previous prime is 144936499. The next prime is 144936569. The reversal of 144936560 is 65639441.

144936560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144936569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834601 + ... + 1834679.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^144936560 is an apocalyptic number.

144936560 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 144936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

144936560 is an abundant number, since it is smaller than the sum of its proper divisors (240753040).

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

144936560 is a wasteful number, since it uses less digits than its factorization.

144936560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 144936560 is about 12038.9600879810. The cubic root of 144936560 is about 525.2821582303.

The spelling of 144936560 in words is "one hundred forty-four million, nine hundred thirty-six thousand, five hundred sixty".