2161134144 has 189 divisors, whose sum is σ = 6752974683. Its totient is φ = 660501504.

The previous prime is 2161134137. The next prime is 2161134161. The reversal of 2161134144 is 4414311612.

The square root of 2161134144 is 46488.

It is a perfect power (a square), and thus also a powerful number.

2161134144 is a `hidden beast` number, since 2 + 1 + 611 + 3 + 4 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1169640000 + 991494144 = 34200^2 + 31488^2 .

It is a super-2 number, since 2×2161134144² = 9341001576725225472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14504182 + ... + 14504330.

Almost surely, 2^2161134144 is an apocalyptic number.

2161134144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2161134144 is the 46488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161134144

2161134144 is an abundant number, since it is smaller than the sum of its proper divisors (4591840539).

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

2161134144 is a wasteful number, since it uses less digits than its factorization.

2161134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 167 counting only the distinct ones).

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

The cubic root of 2161134144 is about 1292.8870188011.

Multiplying 2161134144 by its product of digits (2304), we get a square (4979253067776 = 2231424²).

Adding to 2161134144 its reverse (4414311612), we get a palindrome (6575445756).

It can be divided in two parts, 21611 and 34144, that added together give a palindrome (55755).

The spelling of 2161134144 in words is "two billion, one hundred sixty-one million, one hundred thirty-four thousand, one hundred forty-four".