165538464 has 144 divisors (see below), whose sum is σ = 544567968. Its totient is φ = 43642368.

The previous prime is 165538459. The next prime is 165538511. The reversal of 165538464 is 464835561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59799 + ... + 62505.

It is an arithmetic number, because the mean of its divisors is an integer number (3781722).

Almost surely, 2^165538464 is an apocalyptic number.

165538464 is a gapful number since it is divisible by the number (14) 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 165538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272283984).

165538464 is an abundant number, since it is smaller than the sum of its proper divisors (379029504).

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

165538464 is a wasteful number, since it uses less digits than its factorization.

165538464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2732 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 165538464 is about 12866.1751892316. The cubic root of 165538464 is about 549.0766479691.

The spelling of 165538464 in words is "one hundred sixty-five million, five hundred thirty-eight thousand, four hundred sixty-four".