120284136 has 256 divisors, whose sum is σ = 414720000. Its totient is φ = 31539456.

The previous prime is 120284111. The next prime is 120284147. The reversal of 120284136 is 631482021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1522545 + ... + 1522623.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 2^120284136 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 120284136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

120284136 is an abundant number, since it is smaller than the sum of its proper divisors (294435864).

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

120284136 is a wasteful number, since it uses less digits than its factorization.

120284136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120284136 is about 10967.4124569107. The cubic root of 120284136 is about 493.6314078049.

The spelling of 120284136 in words is "one hundred twenty million, two hundred eighty-four thousand, one hundred thirty-six".