165151760 has 40 divisors (see below), whose sum is σ = 387397080. Its totient is φ = 65472512.

The previous prime is 165151747. The next prime is 165151841. The reversal of 165151760 is 67151561.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 163123984 = 1424^2 + 12772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (9684927).

Almost surely, 2^165151760 is an apocalyptic number.

165151760 is a gapful number since it is divisible by the number (10) 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 165151760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193698540).

165151760 is an abundant number, since it is smaller than the sum of its proper divisors (222245320).

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

165151760 is a wasteful number, since it uses less digits than its factorization.

165151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395 (or 18389 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 165151760 is about 12851.1384709682. The cubic root of 165151760 is about 548.6487601278.

The spelling of 165151760 in words is "one hundred sixty-five million, one hundred fifty-one thousand, seven hundred sixty".