120153060 has 72 divisors (see below), whose sum is σ = 374335416. Its totient is φ = 31173120.

The previous prime is 120152987. The next prime is 120153079. The reversal of 120153060 is 60351021.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 112402404 = 2784^2 + 10602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361 + ... + 15680.

It is an arithmetic number, because the mean of its divisors is an integer number (5199103).

Almost surely, 2^120153060 is an apocalyptic number.

120153060 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 120153060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187167708).

120153060 is an abundant number, since it is smaller than the sum of its proper divisors (254182356).

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

120153060 is a wasteful number, since it uses less digits than its factorization.

120153060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18093 (or 18088 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 120153060 is about 10961.4351250190. The cubic root of 120153060 is about 493.4520360008.

The spelling of 120153060 in words is "one hundred twenty million, one hundred fifty-three thousand, sixty".