161265120 has 96 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 42754560.

The previous prime is 161265079. The next prime is 161265133. The reversal of 161265120 is 21562161.

161265120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×161265120² = 52012877857228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90801 + ... + 92559.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^161265120 is an apocalyptic number.

161265120 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 161265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

161265120 is an abundant number, since it is smaller than the sum of its proper divisors (349669920).

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

161265120 is a wasteful number, since it uses less digits than its factorization.

161265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 161265120 is about 12699.0204346635. The cubic root of 161265120 is about 544.3106285348.

The spelling of 161265120 in words is "one hundred sixty-one million, two hundred sixty-five thousand, one hundred twenty".