144214164 has 36 divisors (see below), whose sum is σ = 364943124. Its totient is φ = 48018432.

The previous prime is 144214153. The next prime is 144214177. The reversal of 144214164 is 461412441.

It can be written as a sum of positive squares in 2 ways, for example, as 129004164 + 15210000 = 11358^2 + 3900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44404 + ... + 47540.

It is an arithmetic number, because the mean of its divisors is an integer number (10137309).

Almost surely, 2^144214164 is an apocalyptic number.

It is an amenable number.

144214164 is an abundant number, since it is smaller than the sum of its proper divisors (220728960).

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

144214164 is a wasteful number, since it uses less digits than its factorization.

144214164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4419 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 144214164 is about 12008.9201845961. The cubic root of 144214164 is about 524.4079966384.

The spelling of 144214164 in words is "one hundred forty-four million, two hundred fourteen thousand, one hundred sixty-four".