162178128 has 120 divisors (see below), whose sum is σ = 521591616. Its totient is φ = 46080000.

The previous prime is 162178097. The next prime is 162178171. The reversal of 162178128 is 821871261.

162178128 is a `hidden beast` number, since 1 + 621 + 7 + 8 + 1 + 28 = 666.

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 junction number, because it is equal to n+sod(n) for n = 162178092 and 162178101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252688 + ... + 253328.

Almost surely, 2^162178128 is an apocalyptic number.

162178128 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 162178128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260795808).

162178128 is an abundant number, since it is smaller than the sum of its proper divisors (359413488).

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

162178128 is a wasteful number, since it uses less digits than its factorization.

162178128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 162178128 is about 12734.9176675784. The cubic root of 162178128 is about 545.3359071673.

The spelling of 162178128 in words is "one hundred sixty-two million, one hundred seventy-eight thousand, one hundred twenty-eight".