144759031440 has 160 divisors (see below), whose sum is σ = 457586962560. Its totient is φ = 37843673088.

The previous prime is 144759031433. The next prime is 144759031457. The reversal of 144759031440 is 44130957441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144759031392 and 144759031401.

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, 18936259 + ... + 18943901.

It is an arithmetic number, because the mean of its divisors is an integer number (2859918516).

Almost surely, 2^144759031440 is an apocalyptic number.

144759031440 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 144759031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228793481280).

144759031440 is an abundant number, since it is smaller than the sum of its proper divisors (312827931120).

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

144759031440 is a wasteful number, since it uses less digits than its factorization.

144759031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 144759031440 its reverse (44130957441), we get a palindrome (188889988881).

The spelling of 144759031440 in words is "one hundred forty-four billion, seven hundred fifty-nine million, thirty-one thousand, four hundred forty".