162457120 has 96 divisors (see below), whose sum is σ = 444866688. Its totient is φ = 54908928.

The previous prime is 162457103. The next prime is 162457133. The reversal of 162457120 is 21754261.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80767 + ... + 82753.

It is an arithmetic number, because the mean of its divisors is an integer number (4634028).

Almost surely, 2^162457120 is an apocalyptic number.

162457120 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 162457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222433344).

162457120 is an abundant number, since it is smaller than the sum of its proper divisors (282409568).

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

162457120 is a wasteful number, since it uses less digits than its factorization.

162457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 162457120 is about 12745.8667810393. The cubic root of 162457120 is about 545.6484384087.

The spelling of 162457120 in words is "one hundred sixty-two million, four hundred fifty-seven thousand, one hundred twenty".