152820180 has 72 divisors (see below), whose sum is σ = 467867400. Its totient is φ = 40372992.

The previous prime is 152820179. The next prime is 152820193. The reversal of 152820180 is 81028251.

152820180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 121616784 = 5586^2 + 11028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15726 + ... + 23514.

Almost surely, 2^152820180 is an apocalyptic number.

152820180 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 152820180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233933700).

152820180 is an abundant number, since it is smaller than the sum of its proper divisors (315047220).

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

152820180 is a wasteful number, since it uses less digits than its factorization.

152820180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 152820180 is about 12362.0459471723. The cubic root of 152820180 is about 534.6385073640.

The spelling of 152820180 in words is "one hundred fifty-two million, eight hundred twenty thousand, one hundred eighty".