144506538 has 64 divisors (see below), whose sum is σ = 355645440. Its totient is φ = 43124400.

The previous prime is 144506519. The next prime is 144506543. The reversal of 144506538 is 835605441.

It is a happy number.

144506538 is a `hidden beast` number, since 144 + 506 + 5 + 3 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37983 + ... + 41613.

It is an arithmetic number, because the mean of its divisors is an integer number (5556960).

Almost surely, 2^144506538 is an apocalyptic number.

144506538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144506538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177822720).

144506538 is an abundant number, since it is smaller than the sum of its proper divisors (211138902).

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

144506538 is a wasteful number, since it uses less digits than its factorization.

144506538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 144506538 is about 12021.0872220444. The cubic root of 144506538 is about 524.7621453159.

The spelling of 144506538 in words is "one hundred forty-four million, five hundred six thousand, five hundred thirty-eight".