144967296 has 128 divisors (see below), whose sum is σ = 416404800. Its totient is φ = 44515328.

The previous prime is 144967289. The next prime is 144967301. The reversal of 144967296 is 692769441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345775 + ... + 346193.

Almost surely, 2^144967296 is an apocalyptic number.

144967296 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 144967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208202400).

144967296 is an abundant number, since it is smaller than the sum of its proper divisors (271437504).

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

144967296 is a wasteful number, since it uses less digits than its factorization.

144967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 144967296 is about 12040.2365425269. The cubic root of 144967296 is about 525.3192869604.

The spelling of 144967296 in words is "one hundred forty-four million, nine hundred sixty-seven thousand, two hundred ninety-six".