144895032 has 96 divisors (see below), whose sum is σ = 416707200. Its totient is φ = 45384768.

The previous prime is 144895027. The next prime is 144895061. The reversal of 144895032 is 230598441.

144895032 is a `hidden beast` number, since 144 + 8 + 9 + 503 + 2 = 666.

144895032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96963 + ... + 98445.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^144895032 is an apocalyptic number.

144895032 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 144895032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208353600).

144895032 is an abundant number, since it is smaller than the sum of its proper divisors (271812168).

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

144895032 is a wasteful number, since it uses less digits than its factorization.

144895032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

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

The square root of 144895032 is about 12037.2352307330. The cubic root of 144895032 is about 525.2319845515.

The spelling of 144895032 in words is "one hundred forty-four million, eight hundred ninety-five thousand, thirty-two".