145242144 has 72 divisors (see below), whose sum is σ = 418908672. Its totient is φ = 47725440.

The previous prime is 145242143. The next prime is 145242157. The reversal of 145242144 is 441242541.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145242143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16897 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (5818176).

Almost surely, 2^145242144 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 145242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209454336).

145242144 is an abundant number, since it is smaller than the sum of its proper divisors (273666528).

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

145242144 is a wasteful number, since it uses less digits than its factorization.

145242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7179 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 145242144 is about 12051.6448669881. The cubic root of 145242144 is about 525.6510670898.

Adding to 145242144 its reverse (441242541), we get a palindrome (586484685).

The spelling of 145242144 in words is "one hundred forty-five million, two hundred forty-two thousand, one hundred forty-four".