165889152 has 384 divisors, whose sum is σ = 601473600. Its totient is φ = 43130880.

The previous prime is 165889151. The next prime is 165889159. The reversal of 165889152 is 251988561.

It is a happy number.

165889152 is a `hidden beast` number, since 16 + 588 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 165889098 and 165889107.

It is not an unprimeable number, because it can be changed into a prime (165889151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129958 + ... + 3130010.

Almost surely, 2^165889152 is an apocalyptic number.

165889152 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 165889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

165889152 is an abundant number, since it is smaller than the sum of its proper divisors (435584448).

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

165889152 is a wasteful number, since it uses less digits than its factorization.

165889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 165889152 is about 12879.7962716807. The cubic root of 165889152 is about 549.4641083274.

The spelling of 165889152 in words is "one hundred sixty-five million, eight hundred eighty-nine thousand, one hundred fifty-two".