144685632 has 224 divisors, whose sum is σ = 483616000. Its totient is φ = 38158848.

The previous prime is 144685579. The next prime is 144685643. The reversal of 144685632 is 236586441.

It is a tau number, because it is divible by the number of its divisors (224).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=364.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 9.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11129658 + ... + 11129670.

It is an arithmetic number, because the mean of its divisors is an integer number (2159000).

Almost surely, 2^144685632 is an apocalyptic number.

144685632 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 144685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241808000).

144685632 is an abundant number, since it is smaller than the sum of its proper divisors (338930368).

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

144685632 is an frugal number, since it uses more digits than its factorization.

144685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 144685632 is about 12028.5340752728. The cubic root of 144685632 is about 524.9788435919.

It can be divided in two parts, 14468 and 5632, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 144685632 in words is "one hundred forty-four million, six hundred eighty-five thousand, six hundred thirty-two".