161135120 has 40 divisors (see below), whose sum is σ = 377148480. Its totient is φ = 64022400.

The previous prime is 161135101. The next prime is 161135173. The reversal of 161135120 is 21531161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 161135092 and 161135101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5411 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (9428712).

Almost surely, 2^161135120 is an apocalyptic number.

161135120 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 161135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188574240).

161135120 is an abundant number, since it is smaller than the sum of its proper divisors (216013360).

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

161135120 is a wasteful number, since it uses less digits than its factorization.

161135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13503 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 161135120 is about 12693.9008976752. The cubic root of 161135120 is about 544.1643282392.

Adding to 161135120 its reverse (21531161), we get a palindrome (182666281).

The spelling of 161135120 in words is "one hundred sixty-one million, one hundred thirty-five thousand, one hundred twenty".