182987172900 has 675 divisors, whose sum is σ = 699200462499. Its totient is φ = 41394447360.

The previous prime is 182987172881. The next prime is 182987172923. The reversal of 182987172900 is 9271789281.

The square root of 182987172900 is 427770.

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

182987172900 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 6728264676 + 176258908224 = 82026^2 + 419832^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 224 ways as a sum of consecutive naturals, for example, 1886465652 + ... + 1886465748.

Almost surely, 2^182987172900 is an apocalyptic number.

182987172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182987172900 is the 427770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182987172900

182987172900 is an abundant number, since it is smaller than the sum of its proper divisors (516213289599).

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

182987172900 is an frugal number, since it uses more digits than its factorization.

182987172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 182987172900 in words is "one hundred eighty-two billion, nine hundred eighty-seven million, one hundred seventy-two thousand, nine hundred".