116135600 has 240 divisors, whose sum is σ = 350572800. Its totient is φ = 36080640.

The previous prime is 116135587. The next prime is 116135603. The reversal of 116135600 is 6531611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116135603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1968371 + ... + 1968429.

It is an arithmetic number, because the mean of its divisors is an integer number (1460720).

Almost surely, 2^116135600 is an apocalyptic number.

116135600 is a gapful number since it is divisible by the number (10) 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 116135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286400).

116135600 is an abundant number, since it is smaller than the sum of its proper divisors (234437200).

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

116135600 is a wasteful number, since it uses less digits than its factorization.

116135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 116135600 is about 10776.6228476272. The cubic root of 116135600 is about 487.8898568944.

The spelling of 116135600 in words is "one hundred sixteen million, one hundred thirty-five thousand, six hundred".