144407750541520 has 80 divisors (see below), whose sum is σ = 349244464579920. Its totient is φ = 55463140454400.

The previous prime is 144407750541377. The next prime is 144407750541553. The reversal of 144407750541520 is 25145057704441.

It can be written as a sum of positive squares in 8 ways, for example, as 45854241523776 + 98553509017744 = 6771576^2 + 9927412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171526821 + ... + 172366660.

It is an arithmetic number, because the mean of its divisors is an integer number (4365555807249).

Almost surely, 2^{144407750541520} is an apocalyptic number.

144407750541520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144407750541520 is an abundant number, since it is smaller than the sum of its proper divisors (204836714038400).

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

144407750541520 is a wasteful number, since it uses less digits than its factorization.

144407750541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343893704 (or 343893698 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 49.

The spelling of 144407750541520 in words is "one hundred forty-four trillion, four hundred seven billion, seven hundred fifty million, five hundred forty-one thousand, five hundred twenty".