45142144 has 32 divisors (see below), whose sum is σ = 90756540. Its totient is φ = 22364160.

The previous prime is 45142133. The next prime is 45142147. The reversal of 45142144 is 44124154.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 19009600 = 5112^2 + 4360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12904 + ... + 16024.

Almost surely, 2^45142144 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 45142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45378270).

45142144 is an abundant number, since it is smaller than the sum of its proper divisors (45614396).

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

45142144 is a wasteful number, since it uses less digits than its factorization.

45142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3236 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 45142144 is about 6718.7903673206. The cubic root of 45142144 is about 356.0634486919.

Adding to 45142144 its reverse (44124154), we get a palindrome (89266298).

The spelling of 45142144 in words is "forty-five million, one hundred forty-two thousand, one hundred forty-four".