162052128 has 144 divisors (see below), whose sum is σ = 543868416. Its totient is φ = 44789760.

The previous prime is 162052081. The next prime is 162052133. The reversal of 162052128 is 821250261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 61200 + ... + 63792.

It is an arithmetic number, because the mean of its divisors is an integer number (3776864).

Almost surely, 2^162052128 is an apocalyptic number.

162052128 is a gapful number since it is divisible by the number (18) 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 162052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271934208).

162052128 is an abundant number, since it is smaller than the sum of its proper divisors (381816288).

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

162052128 is a wasteful number, since it uses less digits than its factorization.

162052128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 162052128 is about 12729.9696778900. The cubic root of 162052128 is about 545.1946424818.

The spelling of 162052128 in words is "one hundred sixty-two million, fifty-two thousand, one hundred twenty-eight".