144395136 has 160 divisors (see below), whose sum is σ = 452951400. Its totient is φ = 45536256.

The previous prime is 144395101. The next prime is 144395159. The reversal of 144395136 is 631593441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144395136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196626 + ... + 197358.

Almost surely, 2^144395136 is an apocalyptic number.

144395136 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 144395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226475700).

144395136 is an abundant number, since it is smaller than the sum of its proper divisors (308556264).

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

144395136 is an equidigital number, since it uses as much as digits as its factorization.

144395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 757 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 144395136 is about 12016.4527211653. The cubic root of 144395136 is about 524.6272619577.

The spelling of 144395136 in words is "one hundred forty-four million, three hundred ninety-five thousand, one hundred thirty-six".