144757314 has 64 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 42192576.

The previous prime is 144757313. The next prime is 144757337. The reversal of 144757314 is 413757441.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144757313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7912 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (5698350).

Almost surely, 2^144757314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144757314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).

144757314 is an abundant number, since it is smaller than the sum of its proper divisors (219937086).

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

144757314 is a wasteful number, since it uses less digits than its factorization.

144757314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10890 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 144757314 is about 12031.5133711433. The cubic root of 144757314 is about 525.0655265150.

The spelling of 144757314 in words is "one hundred forty-four million, seven hundred fifty-seven thousand, three hundred fourteen".