165458160 has 320 divisors, whose sum is σ = 674242560. Its totient is φ = 36495360.

The previous prime is 165458149. The next prime is 165458171. The reversal of 165458160 is 61854561.

165458160 is a `hidden beast` number, since 16 + 5 + 4 + 581 + 60 = 666.

165458160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165458149) and next prime (165458171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468544 + ... + 468896.

It is an arithmetic number, because the mean of its divisors is an integer number (2107008).

Almost surely, 2^165458160 is an apocalyptic number.

165458160 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 165458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337121280).

165458160 is an abundant number, since it is smaller than the sum of its proper divisors (508784400).

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

165458160 is a wasteful number, since it uses less digits than its factorization.

165458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165458160 is about 12863.0540696990. The cubic root of 165458160 is about 548.9878464866.

The spelling of 165458160 in words is "one hundred sixty-five million, four hundred fifty-eight thousand, one hundred sixty".