144541800 has 384 divisors, whose sum is σ = 562464000. Its totient is φ = 33868800.

The previous prime is 144541777. The next prime is 144541801. The reversal of 144541800 is 8145441.

It is a happy number.

144541800 is a `hidden beast` number, since 1 + 44 + 541 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144541801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2035765 + ... + 2035835.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^144541800 is an apocalyptic number.

144541800 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 144541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

144541800 is an abundant number, since it is smaller than the sum of its proper divisors (417922200).

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

144541800 is a wasteful number, since it uses less digits than its factorization.

144541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144541800 is about 12022.5538052445. The cubic root of 144541800 is about 524.8048254099.

The spelling of 144541800 in words is "one hundred forty-four million, five hundred forty-one thousand, eight hundred".