165547152 has 180 divisors, whose sum is σ = 512519280. Its totient is φ = 51648192.

The previous prime is 165547121. The next prime is 165547153. The reversal of 165547152 is 251745561.

165547152 is a `hidden beast` number, since 1 + 65 + 547 + 1 + 52 = 666.

It is a super-2 number, since 2×165547152² = 54811719070622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165547153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1994503 + ... + 1994585.

Almost surely, 2^165547152 is an apocalyptic number.

165547152 is a gapful number since it is divisible by the number (12) 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 165547152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256259640).

165547152 is an abundant number, since it is smaller than the sum of its proper divisors (346972128).

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

165547152 is an frugal number, since it uses more digits than its factorization.

165547152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 165547152 is about 12866.5128142788. The cubic root of 165547152 is about 549.0862535805.

The spelling of 165547152 in words is "one hundred sixty-five million, five hundred forty-seven thousand, one hundred fifty-two".