7146120 has 128 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 1720320.

The previous prime is 7146091. The next prime is 7146133. The reversal of 7146120 is 216417.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63184 + ... + 63296.

It is an arithmetic number, because the mean of its divisors is an integer number (184680).

Almost surely, 2^7146120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819520).

7146120 is an abundant number, since it is smaller than the sum of its proper divisors (16492920).

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

7146120 is a wasteful number, since it uses less digits than its factorization.

7146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7146120 is about 2673.2227741062. Note that the first 3 decimals coincide. The cubic root of 7146120 is about 192.6149984707.

The spelling of 7146120 in words is "seven million, one hundred forty-six thousand, one hundred twenty".