116128000 has 144 divisors (see below), whose sum is σ = 306109440. Its totient is φ = 43776000.

The previous prime is 116127983. The next prime is 116128007. The reversal of 116128000 is 821611.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (116128007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607905 + ... + 608095.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2^116128000 is an apocalyptic number.

116128000 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 116128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

116128000 is an abundant number, since it is smaller than the sum of its proper divisors (189981440).

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

116128000 is an equidigital number, since it uses as much as digits as its factorization.

116128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 116128000 is about 10776.2702267529. The cubic root of 116128000 is about 487.8792140373.

Adding to 116128000 its reverse (821611), we get a palindrome (116949611).

It can be divided in two parts, 1161 and 28000, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 116128000 in words is "one hundred sixteen million, one hundred twenty-eight thousand".