145124144 has 80 divisors (see below), whose sum is σ = 322169856. Its totient is φ = 62726400.

The previous prime is 145124143. The next prime is 145124153. The reversal of 145124144 is 441421541.

It is a super-3 number, since 3×145124144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145124141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365354 + ... + 365750.

Almost surely, 2^145124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161084928).

145124144 is an abundant number, since it is smaller than the sum of its proper divisors (177045712).

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

145124144 is a wasteful number, since it uses less digits than its factorization.

145124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 145124144 is about 12046.7482749496. The cubic root of 145124144 is about 525.5086758402.

Adding to 145124144 its reverse (441421541), we get a palindrome (586545685).

The spelling of 145124144 in words is "one hundred forty-five million, one hundred twenty-four thousand, one hundred forty-four".