180149346 has 80 divisors (see below), whose sum is σ = 439145784. Its totient is φ = 54867456.

The previous prime is 180149329. The next prime is 180149371. The reversal of 180149346 is 643941081.

It can be written as a sum of positive squares in 4 ways, for example, as 77633721 + 102515625 = 8811^2 + 10125^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 180149346.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237600 + ... + 238356.

Almost surely, 2^180149346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180149346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219572892).

180149346 is an abundant number, since it is smaller than the sum of its proper divisors (258996438).

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

180149346 is a wasteful number, since it uses less digits than its factorization.

180149346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 180149346 is about 13421.9725077948. The cubic root of 180149346 is about 564.7777296797. Note that the first 4 decimals are identical.

The spelling of 180149346 in words is "one hundred eighty million, one hundred forty-nine thousand, three hundred forty-six".