144154400 has 144 divisors (see below), whose sum is σ = 385850304. Its totient is φ = 52270080.

The previous prime is 144154397. The next prime is 144154403. The reversal of 144154400 is 4451441.

It is a happy number.

144154400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144154397) and next prime (144154403).

It is not an unprimeable number, because it can be changed into a prime (144154403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863117 + ... + 863283.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^144154400 is an apocalyptic number.

144154400 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 144154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).

144154400 is an abundant number, since it is smaller than the sum of its proper divisors (241695904).

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

144154400 is a wasteful number, since it uses less digits than its factorization.

144154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 144154400 is about 12006.4316097665. The cubic root of 144154400 is about 524.3355464043.

The spelling of 144154400 in words is "one hundred forty-four million, one hundred fifty-four thousand, four hundred".