116129088 has 84 divisors (see below), whose sum is σ = 341922100. Its totient is φ = 37656576.

The previous prime is 116129081. The next prime is 116129089. The reversal of 116129088 is 880921611.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 58247424 = 7608^2 + 7632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116129081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18588 + ... + 24036.

Almost surely, 2^116129088 is an apocalyptic number.

116129088 is a gapful number since it is divisible by the number (18) 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 116129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170961050).

116129088 is an abundant number, since it is smaller than the sum of its proper divisors (225793012).

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

116129088 is a wasteful number, since it uses less digits than its factorization.

116129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 116129088 is about 10776.3207079225. The cubic root of 116129088 is about 487.8807376748.

Subtracting from 116129088 its product of nonzero digits (6912), we obtain a square (116122176 = 10776²).

The spelling of 116129088 in words is "one hundred sixteen million, one hundred twenty-nine thousand, eighty-eight".