162202144 has 72 divisors (see below), whose sum is σ = 350712180. Its totient is φ = 73801728.

The previous prime is 162202099. The next prime is 162202147. The reversal of 162202144 is 441202261.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1926544 + 160275600 = 1388^2 + 12660^2 .

It is not an unprimeable number, because it can be changed into a prime (162202147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481144 + ... + 481480.

Almost surely, 2^162202144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175356090).

162202144 is an abundant number, since it is smaller than the sum of its proper divisors (188510036).

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

162202144 is a wasteful number, since it uses less digits than its factorization.

162202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 162202144 is about 12735.8605520004. The cubic root of 162202144 is about 545.3628243620.

The spelling of 162202144 in words is "one hundred sixty-two million, two hundred two thousand, one hundred forty-four".