161172144 has 120 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 45650304.

The previous prime is 161172119. The next prime is 161172149. The reversal of 161172144 is 441271161.

161172144 is a `hidden beast` number, since 1 + 611 + 7 + 2 + 1 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (161172149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127387 + ... + 128645.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^161172144 is an apocalyptic number.

161172144 is a gapful number since it is divisible by the number (14) 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 161172144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

161172144 is an abundant number, since it is smaller than the sum of its proper divisors (358794576).

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

161172144 is a wasteful number, since it uses less digits than its factorization.

161172144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1398 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 161172144 is about 12695.3591520681. The cubic root of 161172144 is about 544.2060025749.

The spelling of 161172144 in words is "one hundred sixty-one million, one hundred seventy-two thousand, one hundred forty-four".