168137568 has 72 divisors (see below), whose sum is σ = 489296808. Its totient is φ = 54738432.

The previous prime is 168137467. The next prime is 168137573. The reversal of 168137568 is 865731861.

168137568 is a `hidden beast` number, since 1 + 6 + 81 + 3 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (6795789).

Almost surely, 2^168137568 is an apocalyptic number.

168137568 is a gapful number since it is divisible by the number (18) 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 168137568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244648404).

168137568 is an abundant number, since it is smaller than the sum of its proper divisors (321159240).

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

168137568 is a wasteful number, since it uses less digits than its factorization.

168137568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636 (or 13625 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 168137568 is about 12966.7871116942. The cubic root of 168137568 is about 551.9354051699.

The spelling of 168137568 in words is "one hundred sixty-eight million, one hundred thirty-seven thousand, five hundred sixty-eight".