145142144 has 64 divisors (see below), whose sum is σ = 344874240. Its totient is φ = 59490816.

The previous prime is 145142113. The next prime is 145142147. The reversal of 145142144 is 441241541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145142147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17087 + ... + 24129.

It is an arithmetic number, because the mean of its divisors is an integer number (5388660).

Almost surely, 2^145142144 is an apocalyptic number.

145142144 is a gapful number since it is divisible by the number (14) 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 145142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172437120).

145142144 is an abundant number, since it is smaller than the sum of its proper divisors (199732096).

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

145142144 is an equidigital number, since it uses as much as digits as its factorization.

145142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7075 counting only the distinct ones).

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

The square root of 145142144 is about 12047.4953413562. The cubic root of 145142144 is about 525.5304015271.

Adding to 145142144 its reverse (441241541), we get a palindrome (586383685).

The spelling of 145142144 in words is "one hundred forty-five million, one hundred forty-two thousand, one hundred forty-four".