90144180 has 144 divisors (see below), whose sum is σ = 323406720. Its totient is φ = 19885824.

The previous prime is 90144179. The next prime is 90144181. The reversal of 90144180 is 8144109.

It is an interprime number because it is at equal distance from previous prime (90144179) and next prime (90144181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90144181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35307 + ... + 37773.

It is an arithmetic number, because the mean of its divisors is an integer number (2245880).

Almost surely, 2^90144180 is an apocalyptic number.

90144180 is a gapful number since it is divisible by the number (90) 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 90144180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161703360).

90144180 is an abundant number, since it is smaller than the sum of its proper divisors (233262540).

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

90144180 is a wasteful number, since it uses less digits than its factorization.

90144180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90144180 is about 9494.4288927771. The cubic root of 90144180 is about 448.3796539928.

Adding to 90144180 its reverse (8144109), we get a palindrome (98288289).

The spelling of 90144180 in words is "ninety million, one hundred forty-four thousand, one hundred eighty".