180165552 has 160 divisors (see below), whose sum is σ = 561868800. Its totient is φ = 49674240.

The previous prime is 180165551. The next prime is 180165563. The reversal of 180165552 is 255561081.

It is a super-2 number, since 2×180165552² = 64919252254929408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180165551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510208 + ... + 510560.

It is an arithmetic number, because the mean of its divisors is an integer number (3511680).

Almost surely, 2^180165552 is an apocalyptic number.

180165552 is a gapful number since it is divisible by the number (12) 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 180165552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280934400).

180165552 is an abundant number, since it is smaller than the sum of its proper divisors (381703248).

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

180165552 is a wasteful number, since it uses less digits than its factorization.

180165552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 180165552 is about 13422.5762057811. The cubic root of 180165552 is about 564.7946647277.

The spelling of 180165552 in words is "one hundred eighty million, one hundred sixty-five thousand, five hundred fifty-two".