162138168 has 48 divisors (see below), whose sum is σ = 439714080. Its totient is φ = 53973504.

The previous prime is 162138157. The next prime is 162138169. The reversal of 162138168 is 861831261.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162138169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94696 + ... + 96392.

It is an arithmetic number, because the mean of its divisors is an integer number (9160710).

Almost surely, 2^162138168 is an apocalyptic number.

162138168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162138168 is an abundant number, since it is smaller than the sum of its proper divisors (277575912).

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

162138168 is a wasteful number, since it uses less digits than its factorization.

162138168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3029 counting only the distinct ones).

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

The square root of 162138168 is about 12733.3486561862. The cubic root of 162138168 is about 545.2911140066.

The spelling of 162138168 in words is "one hundred sixty-two million, one hundred thirty-eight thousand, one hundred sixty-eight".