120134134176 has 288 divisors, whose sum is σ = 377138426112. Its totient is φ = 33370122240.

The previous prime is 120134134157. The next prime is 120134134177. The reversal of 120134134176 is 671431431021.

It is not an unprimeable number, because it can be changed into a prime (120134134177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34709086 + ... + 34712546.

It is an arithmetic number, because the mean of its divisors is an integer number (1309508424).

Almost surely, 2^120134134176 is an apocalyptic number.

120134134176 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 120134134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188569213056).

120134134176 is an abundant number, since it is smaller than the sum of its proper divisors (257004291936).

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

120134134176 is a wasteful number, since it uses less digits than its factorization.

120134134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 120134134176 its reverse (671431431021), we get a palindrome (791565565197).

The spelling of 120134134176 in words is "one hundred twenty billion, one hundred thirty-four million, one hundred thirty-four thousand, one hundred seventy-six".