161142880 has 48 divisors (see below), whose sum is σ = 382765824. Its totient is φ = 64107520.

The previous prime is 161142871. The next prime is 161142889. The reversal of 161142880 is 88241161.

161142880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161142871) and next prime (161142889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161142889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27924 + ... + 33196.

It is an arithmetic number, because the mean of its divisors is an integer number (7974288).

Almost surely, 2^161142880 is an apocalyptic number.

161142880 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 161142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191382912).

161142880 is an abundant number, since it is smaller than the sum of its proper divisors (221622944).

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

161142880 is a wasteful number, since it uses less digits than its factorization.

161142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 161142880 is about 12694.2065525971. The cubic root of 161142880 is about 544.1730634494.

The spelling of 161142880 in words is "one hundred sixty-one million, one hundred forty-two thousand, eight hundred eighty".