116129064 has 64 divisors (see below), whose sum is σ = 307195200. Its totient is φ = 36481536.

The previous prime is 116129063. The next prime is 116129077. The reversal of 116129064 is 460921611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116129063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105702 + ... + 106794.

It is an arithmetic number, because the mean of its divisors is an integer number (4799925).

Almost surely, 2^116129064 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 116129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153597600).

116129064 is an abundant number, since it is smaller than the sum of its proper divisors (191066136).

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

116129064 is a wasteful number, since it uses less digits than its factorization.

116129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116129064 is about 10776.3195943699. The cubic root of 116129064 is about 487.8807040653.

The spelling of 116129064 in words is "one hundred sixteen million, one hundred twenty-nine thousand, sixty-four".