168133680 has 480 divisors, whose sum is σ = 701955072. Its totient is φ = 35481600.

The previous prime is 168133663. The next prime is 168133709. The reversal of 168133680 is 86331861.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2368045 + ... + 2368115.

Almost surely, 2^168133680 is an apocalyptic number.

168133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

168133680 is an abundant number, since it is smaller than the sum of its proper divisors (533821392).

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

168133680 is a wasteful number, since it uses less digits than its factorization.

168133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 168133680 is about 12966.6371893410. The cubic root of 168133680 is about 551.9311508333.

The spelling of 168133680 in words is "one hundred sixty-eight million, one hundred thirty-three thousand, six hundred eighty".