116146400 has 72 divisors (see below), whose sum is σ = 289668960. Its totient is φ = 45455360.

The previous prime is 116146391. The next prime is 116146409. The reversal of 116146400 is 4641611.

It is an interprime number because it is at equal distance from previous prime (116146391) and next prime (116146409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116146409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36056 + ... + 39144.

It is an arithmetic number, because the mean of its divisors is an integer number (4023180).

Almost surely, 2^116146400 is an apocalyptic number.

116146400 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 116146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144834480).

116146400 is an abundant number, since it is smaller than the sum of its proper divisors (173522560).

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

116146400 is a wasteful number, since it uses less digits than its factorization.

116146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116146400 is about 10777.1239206015. The cubic root of 116146400 is about 487.9049801559.

The spelling of 116146400 in words is "one hundred sixteen million, one hundred forty-six thousand, four hundred".