144519429120 has 352 divisors, whose sum is σ = 526196252160. Its totient is φ = 33510850560.

The previous prime is 144519429083. The next prime is 144519429133. The reversal of 144519429120 is 21924915441.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3867486 + ... + 3904674.

Almost surely, 2^144519429120 is an apocalyptic number.

144519429120 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 144519429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263098126080).

144519429120 is an abundant number, since it is smaller than the sum of its proper divisors (381676823040).

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

144519429120 is a wasteful number, since it uses less digits than its factorization.

144519429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37251 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 144519429120 in words is "one hundred forty-four billion, five hundred nineteen million, four hundred twenty-nine thousand, one hundred twenty".