180613100196 has 81 divisors (see below), whose sum is σ = 460181471841. Its totient is φ = 59729232384.

The previous prime is 180613100183. The next prime is 180613100197. The reversal of 180613100196 is 691001316081.

It is a happy number.

The square root of 180613100196 is 424986.

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

180613100196 is a `hidden beast` number, since 18 + 0 + 613 + 10 + 0 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43760456100 + 136852644096 = 209190^2 + 369936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 180613100196.

It is not an unprimeable number, because it can be changed into a prime (180613100197) 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, 492133605 + ... + 492133971.

Almost surely, 2^180613100196 is an apocalyptic number.

180613100196 is the 424986-th square number.

It is an amenable number.

180613100196 is an abundant number, since it is smaller than the sum of its proper divisors (279568371645).

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

180613100196 is an equidigital number, since it uses as much as digits as its factorization.

180613100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 180613100196 by its sum of digits (36), we get a square (6502071607056 = 2549916²).

180613100196 divided by its sum of digits (36) gives a square (5017030561 = 70831²).

The spelling of 180613100196 in words is "one hundred eighty billion, six hundred thirteen million, one hundred thousand, one hundred ninety-six".