165375000 has 336 divisors, whose sum is σ = 667960200. Its totient is φ = 37800000.

The previous prime is 165374983. The next prime is 165375019. The reversal of 165375000 is 573561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

165375000 is a `hidden beast` number, since 1 + 653 + 7 + 5 + 0 + 0 + 0 = 666.

165375000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23624997 + ... + 23625003.

Almost surely, 2^165375000 is an apocalyptic number.

165375000 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 165375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333980100).

165375000 is an abundant number, since it is smaller than the sum of its proper divisors (502585200).

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

165375000 is an frugal number, since it uses more digits than its factorization.

165375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 165375000 is about 12859.8211496117. The cubic root of 165375000 is about 548.8958565034.

The spelling of 165375000 in words is "one hundred sixty-five million, three hundred seventy-five thousand".