165162132 has 24 divisors (see below), whose sum is σ = 428198400. Its totient is φ = 55054008.

The previous prime is 165162121. The next prime is 165162133. The reversal of 165162132 is 231261561.

165162132 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 621 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 165162096 and 165162105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165162133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764532 + ... + 764747.

It is an arithmetic number, because the mean of its divisors is an integer number (17841600).

Almost surely, 2^165162132 is an apocalyptic number.

165162132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165162132 is an abundant number, since it is smaller than the sum of its proper divisors (263036268).

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

165162132 is a wasteful number, since it uses less digits than its factorization.

165162132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529292 (or 1529284 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 165162132 is about 12851.5420086463. The cubic root of 165162132 is about 548.6602454546.

165162132 divided by its sum of digits (27) gives a palindrome (6117116).

It can be divided in two parts, 1651621 and 32, that added together give a triangular number (1651653 = T₁₈₁₇).

The spelling of 165162132 in words is "one hundred sixty-five million, one hundred sixty-two thousand, one hundred thirty-two".