144735988320 has 1152 divisors, whose sum is σ = 654033139200. Its totient is φ = 29552947200.

The previous prime is 144735988303. The next prime is 144735988361. The reversal of 144735988320 is 23889537441.

It is a happy number.

144735988320 is a `hidden beast` number, since 1 + 4 + 47 + 3 + 598 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142036771 + ... + 142037789.

It is an arithmetic number, because the mean of its divisors is an integer number (567737100).

Almost surely, 2^144735988320 is an apocalyptic number.

144735988320 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 144735988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016569600).

144735988320 is an abundant number, since it is smaller than the sum of its proper divisors (509297150880).

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

144735988320 is a wasteful number, since it uses less digits than its factorization.

144735988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 144735988320 in words is "one hundred forty-four billion, seven hundred thirty-five million, nine hundred eighty-eight thousand, three hundred twenty".