144757317440 has 112 divisors (see below), whose sum is σ = 365174838864. Its totient is φ = 54467788800.

The previous prime is 144757317437. The next prime is 144757317443. The reversal of 144757317440 is 44713757441.

It is an interprime number because it is at equal distance from previous prime (144757317437) and next prime (144757317443).

It can be written as a sum of positive squares in 8 ways, for example, as 29581248064 + 115176069376 = 171992^2 + 339376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144757317443) by changing a digit.

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, 12076250 + ... + 12088230.

Almost surely, 2^144757317440 is an apocalyptic number.

144757317440 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 144757317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587419432).

144757317440 is an abundant number, since it is smaller than the sum of its proper divisors (220417521424).

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

144757317440 is a wasteful number, since it uses less digits than its factorization.

144757317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14226 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 47.

The spelling of 144757317440 in words is "one hundred forty-four billion, seven hundred fifty-seven million, three hundred seventeen thousand, four hundred forty".