120689136 has 80 divisors (see below), whose sum is σ = 347869600. Its totient is φ = 40061952.

The previous prime is 120689131. The next prime is 120689141. The reversal of 120689136 is 631986021.

It is an interprime number because it is at equal distance from previous prime (120689131) and next prime (120689141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120689136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120689131) by changing a digit.

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, 145170 + ... + 145998.

It is an arithmetic number, because the mean of its divisors is an integer number (4348370).

Almost surely, 2^120689136 is an apocalyptic number.

120689136 is a gapful number since it is divisible by the number (16) 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 120689136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173934800).

120689136 is an abundant number, since it is smaller than the sum of its proper divisors (227180464).

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

120689136 is a wasteful number, since it uses less digits than its factorization.

120689136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120689136 is about 10985.8607309578. The cubic root of 120689136 is about 494.1848106782.

The spelling of 120689136 in words is "one hundred twenty million, six hundred eighty-nine thousand, one hundred thirty-six".