165121360 has 80 divisors (see below), whose sum is σ = 401581440. Its totient is φ = 63060480.

The previous prime is 165121349. The next prime is 165121361. The reversal of 165121360 is 63121561.

165121360 is digitally balanced in base 2 and base 3, because in such bases 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165121361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238615 + ... + 239305.

It is an arithmetic number, because the mean of its divisors is an integer number (5019768).

Almost surely, 2^165121360 is an apocalyptic number.

165121360 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 165121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200790720).

165121360 is an abundant number, since it is smaller than the sum of its proper divisors (236460080).

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

165121360 is a wasteful number, since it uses less digits than its factorization.

165121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 165121360 is about 12849.9556419468. The cubic root of 165121360 is about 548.6150942321.

The spelling of 165121360 in words is "one hundred sixty-five million, one hundred twenty-one thousand, three hundred sixty".