144925355520 has 480 divisors, whose sum is σ = 567852405120. Its totient is φ = 35131760640.

The previous prime is 144925355431. The next prime is 144925355527. The reversal of 144925355520 is 25553529441.

144925355520 is a `hidden beast` number, since 1 + 4 + 4 + 92 + 5 + 3 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144925355527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6832291 + ... + 6853469.

It is an arithmetic number, because the mean of its divisors is an integer number (1183025844).

Almost surely, 2^144925355520 is an apocalyptic number.

144925355520 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 144925355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283926202560).

144925355520 is an abundant number, since it is smaller than the sum of its proper divisors (422927049600).

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

144925355520 is an equidigital number, since it uses as much as digits as its factorization.

144925355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 21200 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 144925355520 in words is "one hundred forty-four billion, nine hundred twenty-five million, three hundred fifty-five thousand, five hundred twenty".