144665400 has 192 divisors, whose sum is σ = 511038720. Its totient is φ = 33510400.

The previous prime is 144665387. The next prime is 144665407. The reversal of 144665400 is 4566441.

144665400 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144665407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151324 + ... + 152276.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 2^144665400 is an apocalyptic number.

144665400 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 144665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255519360).

144665400 is an abundant number, since it is smaller than the sum of its proper divisors (366373320).

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

144665400 is a wasteful number, since it uses less digits than its factorization.

144665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144665400 is about 12027.6930456343. The cubic root of 144665400 is about 524.9543724519.

The spelling of 144665400 in words is "one hundred forty-four million, six hundred sixty-five thousand, four hundred".