145146144 has 192 divisors, whose sum is σ = 456382080. Its totient is φ = 39813120.

The previous prime is 145146143. The next prime is 145146151. The reversal of 145146144 is 441641541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145146143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331562 + ... + 1331670.

It is an arithmetic number, because the mean of its divisors is an integer number (2376990).

Almost surely, 2^145146144 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 145146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228191040).

145146144 is an abundant number, since it is smaller than the sum of its proper divisors (311235936).

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

145146144 is a wasteful number, since it uses less digits than its factorization.

145146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 145146144 is about 12047.6613498222. The cubic root of 145146144 is about 525.5352292135.

Adding to 145146144 its reverse (441641541), we get a palindrome (586787685).

The spelling of 145146144 in words is "one hundred forty-five million, one hundred forty-six thousand, one hundred forty-four".