168132801600 has 945 divisors, whose sum is σ = 666450946623. Its totient is φ = 41568215040.

The previous prime is 168132801539. The next prime is 168132801619. The reversal of 168132801600 is 6108231861.

The square root of 168132801600 is 410040.

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

168132801600 is a `hidden beast` number, since 16 + 8 + 1 + 32 + 8 + 0 + 1 + 600 = 666.

168132801600 is digitally balanced in base 2, 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 3932794944 + 164200006656 = 62712^2 + 405216^2 .

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 (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2509444767 + ... + 2509444833.

Almost surely, 2^168132801600 is an apocalyptic number.

168132801600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168132801600 is the 410040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168132801600

168132801600 is an abundant number, since it is smaller than the sum of its proper divisors (498318145023).

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

168132801600 is an equidigital number, since it uses as much as digits as its factorization.

168132801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 168132801600 by its sum of digits (36), we get a square (6052780857600 = 2460240²).

168132801600 divided by its sum of digits (36) gives a square (4670355600 = 68340²).

The spelling of 168132801600 in words is "one hundred sixty-eight billion, one hundred thirty-two million, eight hundred one thousand, six hundred".