120683136 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 30523392.

The previous prime is 120683113. The next prime is 120683141. The reversal of 120683136 is 631386021.

It is a congruent number.

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, 868155 + ... + 868293.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^120683136 is an apocalyptic number.

120683136 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 120683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

120683136 is an abundant number, since it is smaller than the sum of its proper divisors (290580864).

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

120683136 is a wasteful number, since it uses less digits than its factorization.

120683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 120683136 is about 10985.5876492794. The cubic root of 120683136 is about 494.1766211590.

The spelling of 120683136 in words is "one hundred twenty million, six hundred eighty-three thousand, one hundred thirty-six".