162148896 has 288 divisors, whose sum is σ = 594397440. Its totient is φ = 40753152.

The previous prime is 162148871. The next prime is 162148937. The reversal of 162148896 is 698841261.

162148896 is a `hidden beast` number, since 162 + 1 + 488 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602650 + ... + 602918.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^162148896 is an apocalyptic number.

162148896 is a gapful number since it is divisible by the number (16) 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 162148896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

162148896 is an abundant number, since it is smaller than the sum of its proper divisors (432248544).

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

162148896 is a wasteful number, since it uses less digits than its factorization.

162148896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 162148896 is about 12733.7699052559. The cubic root of 162148896 is about 545.3031402805.

The spelling of 162148896 in words is "one hundred sixty-two million, one hundred forty-eight thousand, eight hundred ninety-six".