165288900 has 144 divisors (see below), whose sum is σ = 564408320. Its totient is φ = 36547200.

The previous prime is 165288899. The next prime is 165288919. The reversal of 165288900 is 9882561.

165288900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63831 + ... + 66369.

Almost surely, 2^165288900 is an apocalyptic number.

165288900 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 165288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282204160).

165288900 is an abundant number, since it is smaller than the sum of its proper divisors (399119420).

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

165288900 is a wasteful number, since it uses less digits than its factorization.

165288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 165288900 is about 12856.4730777924. The cubic root of 165288900 is about 548.8005818502.

The spelling of 165288900 in words is "one hundred sixty-five million, two hundred eighty-eight thousand, nine hundred".