165955152 has 80 divisors (see below), whose sum is σ = 482826240. Its totient is φ = 48662400.

The previous prime is 165955151. The next prime is 165955169. The reversal of 165955152 is 251559561.

It is a super-2 number, since 2×165955152² = 55082224950686208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165955152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165955151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11299 + ... + 21437.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328).

Almost surely, 2^165955152 is an apocalyptic number.

165955152 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 165955152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241413120).

165955152 is an abundant number, since it is smaller than the sum of its proper divisors (316871088).

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

165955152 is a wasteful number, since it uses less digits than its factorization.

165955152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10186 counting only the distinct ones).

The product of its digits is 67500, while the sum is 39.

The square root of 165955152 is about 12882.3581692173. The cubic root of 165955152 is about 549.5369678692.

The spelling of 165955152 in words is "one hundred sixty-five million, nine hundred fifty-five thousand, one hundred fifty-two".