165513600 has 288 divisors, whose sum is σ = 675782640. Its totient is φ = 37785600.

The previous prime is 165513577. The next prime is 165513613. The reversal of 165513600 is 6315561.

It is a happy number.

165513600 is a `hidden beast` number, since 1 + 6 + 5 + 51 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201190 + ... + 202010.

Almost surely, 2^165513600 is an apocalyptic number.

165513600 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 165513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337891320).

165513600 is an abundant number, since it is smaller than the sum of its proper divisors (510269040).

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

165513600 is a wasteful number, since it uses less digits than its factorization.

165513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 165513600 is about 12865.2088984206. The cubic root of 165513600 is about 549.0491560194.

The spelling of 165513600 in words is "one hundred sixty-five million, five hundred thirteen thousand, six hundred".