165366120 has 256 divisors, whose sum is σ = 562464000. Its totient is φ = 38707200.

The previous prime is 165366053. The next prime is 165366127. The reversal of 165366120 is 21663561.

165366120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (165366127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2710890 + ... + 2710950.

It is an arithmetic number, because the mean of its divisors is an integer number (2197125).

Almost surely, 2^165366120 is an apocalyptic number.

165366120 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 165366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

165366120 is an abundant number, since it is smaller than the sum of its proper divisors (397097880).

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

165366120 is a wasteful number, since it uses less digits than its factorization.

165366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 165366120 is about 12859.4758835654. The cubic root of 165366120 is about 548.8860317971.

The spelling of 165366120 in words is "one hundred sixty-five million, three hundred sixty-six thousand, one hundred twenty".