161853120 has 448 divisors, whose sum is σ = 675924480. Its totient is φ = 35942400.

The previous prime is 161853103. The next prime is 161853127. The reversal of 161853120 is 21358161.

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

It is not an unprimeable number, because it can be changed into a prime (161853127) 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 63 ways as a sum of consecutive naturals, for example, 1235455 + ... + 1235585.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 2^161853120 is an apocalyptic number.

161853120 is a gapful number since it is divisible by the number (10) 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 161853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337962240).

161853120 is an abundant number, since it is smaller than the sum of its proper divisors (514071360).

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

161853120 is a wasteful number, since it uses less digits than its factorization.

161853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 161853120 is about 12722.1507615654. The cubic root of 161853120 is about 544.9713757657.

The spelling of 161853120 in words is "one hundred sixty-one million, eight hundred fifty-three thousand, one hundred twenty".