180158160 has 320 divisors, whose sum is σ = 702955008. Its totient is φ = 37158912.

The previous prime is 180158131. The next prime is 180158213. The reversal of 180158160 is 61851081.

It is a happy number.

It is a super-2 number, since 2×180158160² = 64913925229171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1594264 + ... + 1594376.

Almost surely, 2^180158160 is an apocalyptic number.

180158160 is a gapful number since it is divisible by the number (10) 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 180158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351477504).

180158160 is an abundant number, since it is smaller than the sum of its proper divisors (522796848).

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

180158160 is a wasteful number, since it uses less digits than its factorization.

180158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 180158160 is about 13422.3008459802. The cubic root of 180158160 is about 564.7869403149.

The spelling of 180158160 in words is "one hundred eighty million, one hundred fifty-eight thousand, one hundred sixty".