116820144 has 200 divisors, whose sum is σ = 393704960. Its totient is φ = 32752512.

The previous prime is 116820127. The next prime is 116820181. The reversal of 116820144 is 441028611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 716607 + ... + 716769.

Almost surely, 2^116820144 is an apocalyptic number.

116820144 is a gapful number since it is divisible by the number (14) 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 116820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196852480).

116820144 is an abundant number, since it is smaller than the sum of its proper divisors (276884816).

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

116820144 is a wasteful number, since it uses less digits than its factorization.

116820144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 116820144 is about 10808.3367823176. The cubic root of 116820144 is about 488.8465776361.

Adding to 116820144 its reverse (441028611), we get a palindrome (557848755).

It can be divided in two parts, 116820 and 144, that added together give a square (116964 = 342²).

The spelling of 116820144 in words is "one hundred sixteen million, eight hundred twenty thousand, one hundred forty-four".