144232000 has 168 divisors, whose sum is σ = 395249400. Its totient is φ = 52096000.

The previous prime is 144231979. The next prime is 144232009. The reversal of 144232000 is 232441.

144232000 = T₂₅₅ + T₂₅₆ + ... + T₉₅₈.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 119071744 = 5016^2 + 10912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (144232009) 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, 967926 + ... + 968074.

It is an arithmetic number, because the mean of its divisors is an integer number (2352675).

Almost surely, 2^144232000 is an apocalyptic number.

144232000 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 144232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197624700).

144232000 is an abundant number, since it is smaller than the sum of its proper divisors (251017400).

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

144232000 is a wasteful number, since it uses less digits than its factorization.

144232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144232000 is about 12009.6627762814. The cubic root of 144232000 is about 524.4296148466.

Adding to 144232000 its reverse (232441), we get a palindrome (144464441).

The spelling of 144232000 in words is "one hundred forty-four million, two hundred thirty-two thousand".