144531000 has 256 divisors, whose sum is σ = 515548800. Its totient is φ = 37440000.

The previous prime is 144530989. The next prime is 144531007. The reversal of 144531000 is 135441.

It is a happy number.

144531000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144531000² = 41778419922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144531007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430950 + ... + 1431050.

Almost surely, 2^144531000 is an apocalyptic number.

144531000 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 144531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774400).

144531000 is an abundant number, since it is smaller than the sum of its proper divisors (371017800).

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

144531000 is a wasteful number, since it uses less digits than its factorization.

144531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 144531000 is about 12022.1046410352. The cubic root of 144531000 is about 524.7917541431.

Adding to 144531000 its reverse (135441), we get a palindrome (144666441).

The spelling of 144531000 in words is "one hundred forty-four million, five hundred thirty-one thousand".