64144 has 20 divisors (see below), whose sum is σ = 131440. Its totient is φ = 30240.

The previous prime is 64123. The next prime is 64151. The reversal of 64144 is 44146.

64144 = T₁₆ + T₁₇ + ... + T₇₂.

64144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64144² = 8228905472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

64144 is a modest number, since divided by 144 gives 64 as remainder.

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (6572).

2⁶⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65720).

64144 is an abundant number, since it is smaller than the sum of its proper divisors (67296).

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

64144 is a wasteful number, since it uses less digits than its factorization.

64144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 64144 is about 253.2666578924. The cubic root of 64144 is about 40.0299775281.

It can be divided in two parts, 64 and 144, that multiplied together give a square (9216 = 96²).

The spelling of 64144 in words is "sixty-four thousand, one hundred forty-four".