165987136 has 112 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 66908160.

The previous prime is 165987131. The next prime is 165987163. The reversal of 165987136 is 631789561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165987131) 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, 916966 + ... + 917146.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^165987136 is an apocalyptic number.

165987136 is a gapful number since it is divisible by the number (16) 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 165987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

165987136 is an abundant number, since it is smaller than the sum of its proper divisors (233422784).

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

165987136 is a wasteful number, since it uses less digits than its factorization.

165987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 165987136 is about 12883.5994970350. The cubic root of 165987136 is about 549.5722690960.

The spelling of 165987136 in words is "one hundred sixty-five million, nine hundred eighty-seven thousand, one hundred thirty-six".