120687515136 has 320 divisors, whose sum is σ = 368456774400. Its totient is φ = 38986334208.

The previous prime is 120687515029. The next prime is 120687515159. The reversal of 120687515136 is 631515786021.

120687515136 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 87 + 51 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120687515091 and 120687515100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59538955 + ... + 59540981.

It is an arithmetic number, because the mean of its divisors is an integer number (1151427420).

Almost surely, 2^120687515136 is an apocalyptic number.

120687515136 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 120687515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184228387200).

120687515136 is an abundant number, since it is smaller than the sum of its proper divisors (247769259264).

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

120687515136 is an equidigital number, since it uses as much as digits as its factorization.

120687515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 120687515136 in words is "one hundred twenty billion, six hundred eighty-seven million, five hundred fifteen thousand, one hundred thirty-six".