168142320 has 120 divisors (see below), whose sum is σ = 567146736. Its totient is φ = 44642304.

The previous prime is 168142309. The next prime is 168142321. The reversal of 168142320 is 23241861.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168142321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249504 + ... + 250176.

Almost surely, 2^168142320 is an apocalyptic number.

168142320 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 168142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283573368).

168142320 is an abundant number, since it is smaller than the sum of its proper divisors (399004416).

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

168142320 is a wasteful number, since it uses less digits than its factorization.

168142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 168142320 is about 12966.9703477721. The cubic root of 168142320 is about 551.9406048254.

The spelling of 168142320 in words is "one hundred sixty-eight million, one hundred forty-two thousand, three hundred twenty".