144825030 has 256 divisors, whose sum is σ = 481536000. Its totient is φ = 30233088.

The previous prime is 144825017. The next prime is 144825053. The reversal of 144825030 is 30528441.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144824985 and 144825003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328616 + ... + 1328724.

It is an arithmetic number, because the mean of its divisors is an integer number (1881000).

Almost surely, 2^144825030 is an apocalyptic number.

144825030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144825030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240768000).

144825030 is an abundant number, since it is smaller than the sum of its proper divisors (336710970).

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

144825030 is a wasteful number, since it uses less digits than its factorization.

144825030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144825030 is about 12034.3271519433. The cubic root of 144825030 is about 525.1473871904.

The spelling of 144825030 in words is "one hundred forty-four million, eight hundred twenty-five thousand, thirty".