162529152 has 64 divisors (see below), whose sum is σ = 434732160. Its totient is φ = 53798400.

The previous prime is 162529091. The next prime is 162529183. The reversal of 162529152 is 251925261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56583 + ... + 59385.

It is an arithmetic number, because the mean of its divisors is an integer number (6792690).

Almost surely, 2^162529152 is an apocalyptic number.

162529152 is a gapful number since it is divisible by the number (12) 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 162529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217366080).

162529152 is an abundant number, since it is smaller than the sum of its proper divisors (272203008).

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

162529152 is a wasteful number, since it uses less digits than its factorization.

162529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2959 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 162529152 is about 12748.6921682187. The cubic root of 162529152 is about 545.7290716669.

The spelling of 162529152 in words is "one hundred sixty-two million, five hundred twenty-nine thousand, one hundred fifty-two".