144435013152 has 96 divisors (see below), whose sum is σ = 387929570112. Its totient is φ = 47041449984.

The previous prime is 144435013147. The next prime is 144435013169. The reversal of 144435013152 is 251310534441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144435013152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 653548 + ... + 846164.

It is an arithmetic number, because the mean of its divisors is an integer number (4040933022).

Almost surely, 2^144435013152 is an apocalyptic number.

144435013152 is a gapful number since it is divisible by the number (12) 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 144435013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193964785056).

144435013152 is an abundant number, since it is smaller than the sum of its proper divisors (243494556960).

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

144435013152 is a wasteful number, since it uses less digits than its factorization.

144435013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192810 (or 192802 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 144435013152 its reverse (251310534441), we get a palindrome (395745547593).

The spelling of 144435013152 in words is "one hundred forty-four billion, four hundred thirty-five million, thirteen thousand, one hundred fifty-two".