144649152 has 168 divisors, whose sum is σ = 439350912. Its totient is φ = 47174400.

The previous prime is 144649133. The next prime is 144649159. The reversal of 144649152 is 251946441.

144649152 is a `hidden beast` number, since 1 + 4 + 4 + 649 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144649159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104127 + ... + 1104257.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^144649152 is an apocalyptic number.

144649152 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 144649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

144649152 is an abundant number, since it is smaller than the sum of its proper divisors (294701760).

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

144649152 is an equidigital number, since it uses as much as digits as its factorization.

144649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 144649152 is about 12027.0175854199. The cubic root of 144649152 is about 524.9347184135.

The spelling of 144649152 in words is "one hundred forty-four million, six hundred forty-nine thousand, one hundred fifty-two".