182141168400 has 225 divisors, whose sum is σ = 653965855653. Its totient is φ = 48550492800.

The previous prime is 182141168389. The next prime is 182141168413. The reversal of 182141168400 is 4861141281.

The square root of 182141168400 is 426780.

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

182141168400 is a `hidden beast` number, since 1 + 82 + 14 + 1 + 168 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65570820624 + 116570347776 = 256068^2 + 341424^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×182141168400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 44 ways as a sum of consecutive naturals, for example, 76819215 + ... + 76821585.

Almost surely, 2^182141168400 is an apocalyptic number.

182141168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182141168400 is the 426780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182141168400

182141168400 is an abundant number, since it is smaller than the sum of its proper divisors (471824687253).

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

182141168400 is an frugal number, since it uses more digits than its factorization.

182141168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 182141168400 by its sum of digits (36), we get a square (6557082062400 = 2560680²).

182141168400 divided by its sum of digits (36) gives a square (5059476900 = 71130²).

The spelling of 182141168400 in words is "one hundred eighty-two billion, one hundred forty-one million, one hundred sixty-eight thousand, four hundred".