45090144 has 144 divisors (see below), whose sum is σ = 143567424. Its totient is φ = 13305600.

The previous prime is 45090131. The next prime is 45090179. The reversal of 45090144 is 44109054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136059 + ... + 136389.

It is an arithmetic number, because the mean of its divisors is an integer number (996996).

Almost surely, 2^45090144 is an apocalyptic number.

45090144 is a gapful number since it is divisible by the number (44) 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 45090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71783712).

45090144 is an abundant number, since it is smaller than the sum of its proper divisors (98477280).

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

45090144 is a wasteful number, since it uses less digits than its factorization.

45090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45090144 is about 6714.9195080805. The cubic root of 45090144 is about 355.9266776571.

Adding to 45090144 its reverse (44109054), we get a palindrome (89199198).

The spelling of 45090144 in words is "forty-five million, ninety thousand, one hundred forty-four".