162164736 has 156 divisors (see below), whose sum is σ = 483006888. Its totient is φ = 52396032.

The previous prime is 162164729. The next prime is 162164749. The reversal of 162164736 is 637461261.

It is a happy number.

162164736 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 647 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 162164736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953751 + ... + 1953833.

It is an arithmetic number, because the mean of its divisors is an integer number (3096198).

Almost surely, 2^162164736 is an apocalyptic number.

162164736 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 162164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241503444).

162164736 is an abundant number, since it is smaller than the sum of its proper divisors (320842152).

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

162164736 is an equidigital number, since it uses as much as digits as its factorization.

162164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 162164736 is about 12734.3918582710. The cubic root of 162164736 is about 545.3208962252.

The spelling of 162164736 in words is "one hundred sixty-two million, one hundred sixty-four thousand, seven hundred thirty-six".