165014820 has 120 divisors (see below), whose sum is σ = 531841464. Its totient is φ = 42799104.

The previous prime is 165014803. The next prime is 165014831. The reversal of 165014820 is 28410561.

165014820 is a `hidden beast` number, since 1 + 650 + 1 + 4 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86266944 + 78747876 = 9288^2 + 8874^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58564 + ... + 61316.

Almost surely, 2^165014820 is an apocalyptic number.

165014820 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 165014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265920732).

165014820 is an abundant number, since it is smaller than the sum of its proper divisors (366826644).

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

165014820 is a wasteful number, since it uses less digits than its factorization.

165014820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 165014820 is about 12845.8094334300. The cubic root of 165014820 is about 548.4970759301.

It can be divided in two parts, 16501 and 4820, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 165014820 in words is "one hundred sixty-five million, fourteen thousand, eight hundred twenty".