161008128 has 160 divisors (see below), whose sum is σ = 502497600. Its totient is φ = 50761728.

The previous prime is 161008103. The next prime is 161008157. The reversal of 161008128 is 821800161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262350 + ... + 262962.

It is an arithmetic number, because the mean of its divisors is an integer number (3140610).

Almost surely, 2^161008128 is an apocalyptic number.

161008128 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 161008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251248800).

161008128 is an abundant number, since it is smaller than the sum of its proper divisors (341489472).

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

161008128 is an equidigital number, since it uses as much as digits as its factorization.

161008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 161008128 is about 12688.8978244763. The cubic root of 161008128 is about 544.0213371100.

Adding to 161008128 its reverse (821800161), we get a palindrome (982808289).

The spelling of 161008128 in words is "one hundred sixty-one million, eight thousand, one hundred twenty-eight".