168135200 has 36 divisors (see below), whose sum is σ = 410462010. Its totient is φ = 67253760.

The previous prime is 168135197. The next prime is 168135223. The reversal of 168135200 is 2531861.

It can be written as a sum of positive squares in 3 ways, for example, as 81793936 + 86341264 = 9044^2 + 9292^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 168135200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104285 + ... + 105884.

Almost surely, 2^168135200 is an apocalyptic number.

168135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168135200 is an abundant number, since it is smaller than the sum of its proper divisors (242326810).

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

168135200 is a wasteful number, since it uses less digits than its factorization.

168135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210189 (or 210176 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 168135200 is about 12966.6958011669. The cubic root of 168135200 is about 551.9328140591.

The spelling of 168135200 in words is "one hundred sixty-eight million, one hundred thirty-five thousand, two hundred".