144938949120 has 960 divisors, whose sum is σ = 613859710464. Its totient is φ = 30883184640.

The previous prime is 144938949059. The next prime is 144938949121. The reversal of 144938949120 is 21949839441.

144938949120 is a `hidden beast` number, since 1 + 44 + 93 + 8 + 9 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (144938949121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152086564 + ... + 152087516.

Almost surely, 2^144938949120 is an apocalyptic number.

144938949120 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 144938949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306929855232).

144938949120 is an abundant number, since it is smaller than the sum of its proper divisors (468920761344).

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

144938949120 is a wasteful number, since it uses less digits than its factorization.

144938949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 144938949120 in words is "one hundred forty-four billion, nine hundred thirty-eight million, nine hundred forty-nine thousand, one hundred twenty".