144313512 has 128 divisors (see below), whose sum is σ = 449280000. Its totient is φ = 37691136.

The previous prime is 144313489. The next prime is 144313513. The reversal of 144313512 is 215313441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144313513) 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, 91789 + ... + 93347.

It is an arithmetic number, because the mean of its divisors is an integer number (3510000).

Almost surely, 2^144313512 is an apocalyptic number.

144313512 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 144313512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640000).

144313512 is an abundant number, since it is smaller than the sum of its proper divisors (304966488).

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

144313512 is a wasteful number, since it uses less digits than its factorization.

144313512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1619 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 144313512 is about 12013.0558976474. The cubic root of 144313512 is about 524.5283891743.

Adding to 144313512 its reverse (215313441), we get a palindrome (359626953).

The spelling of 144313512 in words is "one hundred forty-four million, three hundred thirteen thousand, five hundred twelve".