162045120 has 224 divisors, whose sum is σ = 553029120. Its totient is φ = 40099840.

The previous prime is 162045109. The next prime is 162045131. The reversal of 162045120 is 21540261.

It is an interprime number because it is at equal distance from previous prime (162045109) and next prime (162045131).

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 31 ways as a sum of consecutive naturals, for example, 905191 + ... + 905369.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^162045120 is an apocalyptic number.

162045120 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 162045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

162045120 is an abundant number, since it is smaller than the sum of its proper divisors (390984000).

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

162045120 is a wasteful number, since it uses less digits than its factorization.

162045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 162045120 is about 12729.6944189560. The cubic root of 162045120 is about 545.1867833253.

Adding to 162045120 its reverse (21540261), we get a palindrome (183585381).

It can be divided in two parts, 162045 and 120, that added together give a triangular number (162165 = T₅₆₉).

The spelling of 162045120 in words is "one hundred sixty-two million, forty-five thousand, one hundred twenty".