144151296 has 144 divisors (see below), whose sum is σ = 415160928. Its totient is φ = 44236800.

The previous prime is 144151291. The next prime is 144151307. The reversal of 144151296 is 692151441.

It is a super-2 number, since 2×144151296² = 41559192276959232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144151291) 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, 796326 + ... + 796506.

It is an arithmetic number, because the mean of its divisors is an integer number (2883062).

Almost surely, 2^144151296 is an apocalyptic number.

144151296 is a gapful number since it is divisible by the number (16) 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 144151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207580464).

144151296 is an abundant number, since it is smaller than the sum of its proper divisors (271009632).

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

144151296 is a wasteful number, since it uses less digits than its factorization.

144151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 144151296 is about 12006.3023450186. The cubic root of 144151296 is about 524.3317829645.

The spelling of 144151296 in words is "one hundred forty-four million, one hundred fifty-one thousand, two hundred ninety-six".