165438000 has 480 divisors, whose sum is σ = 718204032. Its totient is φ = 34560000.

The previous prime is 165437983. The next prime is 165438029. The reversal of 165438000 is 834561.

165438000 is a `hidden beast` number, since 1 + 654 + 3 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637950 + ... + 1638050.

Almost surely, 2^165438000 is an apocalyptic number.

165438000 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 165438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359102016).

165438000 is an abundant number, since it is smaller than the sum of its proper divisors (552766032).

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

165438000 is a wasteful number, since it uses less digits than its factorization.

165438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165438000 is about 12862.2704061142. The cubic root of 165438000 is about 548.9655487155.

The spelling of 165438000 in words is "one hundred sixty-five million, four hundred thirty-eight thousand".