144452000 has 288 divisors, whose sum is σ = 457119936. Its totient is φ = 44352000.

The previous prime is 144451919. The next prime is 144452027. The reversal of 144452000 is 254441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2155967 + ... + 2156033.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 2^144452000 is an apocalyptic number.

144452000 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 144452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968).

144452000 is an abundant number, since it is smaller than the sum of its proper divisors (312667936).

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

144452000 is a wasteful number, since it uses less digits than its factorization.

144452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 144452000 is about 12018.8185775475. The cubic root of 144452000 is about 524.6961204392.

The spelling of 144452000 in words is "one hundred forty-four million, four hundred fifty-two thousand".