144153252 has 36 divisors (see below), whose sum is σ = 368152876. Its totient is φ = 47554560.

The previous prime is 144153241. The next prime is 144153257. The reversal of 144153252 is 252351441.

It can be written as a sum of positive squares in 2 ways, for example, as 63584676 + 80568576 = 7974^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (144153257) 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 11 ways as a sum of consecutive naturals, for example, 17149 + ... + 24132.

Almost surely, 2^144153252 is an apocalyptic number.

144153252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144153252 is an abundant number, since it is smaller than the sum of its proper divisors (223999624).

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

144153252 is a wasteful number, since it uses less digits than its factorization.

144153252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41388 (or 41383 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 144153252 is about 12006.3838019614. The cubic root of 144153252 is about 524.3341545199.

The spelling of 144153252 in words is "one hundred forty-four million, one hundred fifty-three thousand, two hundred fifty-two".