144167408 has 120 divisors (see below), whose sum is σ = 360892080. Its totient is φ = 55157760.

The previous prime is 144167407. The next prime is 144167411. The reversal of 144167408 is 804761441.

144167408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144167407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629438 + ... + 629666.

It is an arithmetic number, because the mean of its divisors is an integer number (3007434).

Almost surely, 2^144167408 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 144167408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180446040).

144167408 is an abundant number, since it is smaller than the sum of its proper divisors (216724672).

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

144167408 is a wasteful number, since it uses less digits than its factorization.

144167408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 144167408 is about 12006.9733072078. The cubic root of 144167408 is about 524.3513173454.

The spelling of 144167408 in words is "one hundred forty-four million, one hundred sixty-seven thousand, four hundred eight".