144524820 has 144 divisors (see below), whose sum is σ = 471369024. Its totient is φ = 32947200.

The previous prime is 144524819. The next prime is 144524827. The reversal of 144524820 is 28425441.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144524827) 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 47 ways as a sum of consecutive naturals, for example, 122835 + ... + 124005.

It is an arithmetic number, because the mean of its divisors is an integer number (3273396).

Almost surely, 2^144524820 is an apocalyptic number.

144524820 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 144524820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235684512).

144524820 is an abundant number, since it is smaller than the sum of its proper divisors (326844204).

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

144524820 is a wasteful number, since it uses less digits than its factorization.

144524820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 144524820 is about 12021.8476117442. The cubic root of 144524820 is about 524.7842741808.

The spelling of 144524820 in words is "one hundred forty-four million, five hundred twenty-four thousand, eight hundred twenty".