162005120 has 32 divisors (see below), whose sum is σ = 387295020. Its totient is φ = 64801792.

The previous prime is 162005071. The next prime is 162005143. The reversal of 162005120 is 21500261.

It can be written as a sum of positive squares in 2 ways, for example, as 162001984 + 3136 = 12728^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125927 + ... + 127206.

Almost surely, 2^162005120 is an apocalyptic number.

162005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162005120 is an abundant number, since it is smaller than the sum of its proper divisors (225289900).

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

162005120 is an equidigital number, since it uses as much as digits as its factorization.

162005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253152 (or 253140 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 162005120 is about 12728.1231923642. The cubic root of 162005120 is about 545.1419207876.

Adding to 162005120 its reverse (21500261), we get a palindrome (183505381).

The spelling of 162005120 in words is "one hundred sixty-two million, five thousand, one hundred twenty".