162894144 has 112 divisors (see below), whose sum is σ = 518566400. Its totient is φ = 44084736.

The previous prime is 162894097. The next prime is 162894157. The reversal of 162894144 is 441498261.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×162894144³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22347 + ... + 28725.

Almost surely, 2^162894144 is an apocalyptic number.

162894144 is a gapful number since it is divisible by the number (14) 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 162894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259283200).

162894144 is an abundant number, since it is smaller than the sum of its proper divisors (355672256).

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

162894144 is a wasteful number, since it uses less digits than its factorization.

162894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6410 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 162894144 is about 12762.9990206064. Note that the first 3 decimals coincide. The cubic root of 162894144 is about 546.1372811562.

The spelling of 162894144 in words is "one hundred sixty-two million, eight hundred ninety-four thousand, one hundred forty-four".