182144985132100 has 81 divisors (see below), whose sum is σ = 396128992014007. Its totient is φ = 72697174406080.

The previous prime is 182144985132073. The next prime is 182144985132167. The reversal of 182144985132100 is 1231589441281.

The square root of 182144985132100 is 13496110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62623767136324 + 119521217995776 = 7913518^2 + 10932576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75173331489 + ... + 75173333911.

Almost surely, 2^{182144985132100} is an apocalyptic number.

182144985132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182144985132100 is the 13496110-th square number.

It is an amenable number.

182144985132100 is an abundant number, since it is smaller than the sum of its proper divisors (213984006881907).

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

182144985132100 is an frugal number, since it uses more digits than its factorization.

182144985132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 182144985132100 in words is "one hundred eighty-two trillion, one hundred forty-four billion, nine hundred eighty-five million, one hundred thirty-two thousand, one hundred".