144114432 has 144 divisors (see below), whose sum is σ = 478394112. Its totient is φ = 37416960.

The previous prime is 144114431. The next prime is 144114463. The reversal of 144114432 is 234411441.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144114431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57918 + ... + 60354.

Almost surely, 2^144114432 is an apocalyptic number.

144114432 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 144114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239197056).

144114432 is an abundant number, since it is smaller than the sum of its proper divisors (334279680).

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

144114432 is a wasteful number, since it uses less digits than its factorization.

144114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2460 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 144114432 is about 12004.7670531335. The cubic root of 144114432 is about 524.2870831357.

Adding to 144114432 its reverse (234411441), we get a palindrome (378525873).

The spelling of 144114432 in words is "one hundred forty-four million, one hundred fourteen thousand, four hundred thirty-two".