162525160 has 96 divisors (see below), whose sum is σ = 430119720. Its totient is φ = 55104000.

The previous prime is 162525137. The next prime is 162525163. The reversal of 162525160 is 61525261.

It can be written as a sum of positive squares in 4 ways, for example, as 149377284 + 13147876 = 12222^2 + 3626^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (162525163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197550 + ... + 198370.

Almost surely, 2^162525160 is an apocalyptic number.

162525160 is a gapful number since it is divisible by the number (10) 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 162525160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215059860).

162525160 is an abundant number, since it is smaller than the sum of its proper divisors (267594560).

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

162525160 is a wasteful number, since it uses less digits than its factorization.

162525160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 162525160 is about 12748.5356021780. The cubic root of 162525160 is about 545.7246036104.

It can be divided in two parts, 16252 and 5160, that added together give a palindrome (21412).

The spelling of 162525160 in words is "one hundred sixty-two million, five hundred twenty-five thousand, one hundred sixty".