165131916 has 48 divisors (see below), whose sum is σ = 411479040. Its totient is φ = 51428160.

The previous prime is 165131909. The next prime is 165131917. The reversal of 165131916 is 619131561.

It is not an unprimeable number, because it can be changed into a prime (165131917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135 + ... + 18441.

It is an arithmetic number, because the mean of its divisors is an integer number (8572480).

Almost surely, 2^165131916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165131916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205739520).

165131916 is an abundant number, since it is smaller than the sum of its proper divisors (246347124).

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

165131916 is a wasteful number, since it uses less digits than its factorization.

165131916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15372 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 165131916 is about 12850.3663760999. The cubic root of 165131916 is about 548.6267847397.

The spelling of 165131916 in words is "one hundred sixty-five million, one hundred thirty-one thousand, nine hundred sixteen".