180635200144 has 135 divisors (see below), whose sum is σ = 417992612553. Its totient is φ = 75400528896.

The previous prime is 180635200103. The next prime is 180635200147. The reversal of 180635200144 is 441002536081.

The square root of 180635200144 is 425012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73386810000 + 107248390144 = 270900^2 + 327488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180635200147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 511714272 + ... + 511714624.

Almost surely, 2^180635200144 is an apocalyptic number.

180635200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180635200144 is the 425012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180635200144

180635200144 is an abundant number, since it is smaller than the sum of its proper divisors (237357412409).

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

180635200144 is an frugal number, since it uses more digits than its factorization.

180635200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 180635200144 in words is "one hundred eighty billion, six hundred thirty-five million, two hundred thousand, one hundred forty-four".