165456500 has 96 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 59136000.

The previous prime is 165456493. The next prime is 165456509. The reversal of 165456500 is 5654561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165456509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368276 + ... + 368724.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^165456500 is an apocalyptic number.

165456500 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 165456500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

165456500 is an abundant number, since it is smaller than the sum of its proper divisors (235525900).

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

165456500 is a wasteful number, since it uses less digits than its factorization.

165456500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 165456500 is about 12862.9895436481. The cubic root of 165456500 is about 548.9860105283.

The spelling of 165456500 in words is "one hundred sixty-five million, four hundred fifty-six thousand, five hundred".