116123136 has 160 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 34873344.

The previous prime is 116123101. The next prime is 116123143. The reversal of 116123136 is 631321611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 671146 + ... + 671318.

It is an arithmetic number, because the mean of its divisors is an integer number (2136024).

Almost surely, 2^116123136 is an apocalyptic number.

116123136 is a gapful number since it is divisible by the number (16) 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 116123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

116123136 is an abundant number, since it is smaller than the sum of its proper divisors (225640704).

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

116123136 is a wasteful number, since it uses less digits than its factorization.

116123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 116123136 is about 10776.0445433378. The cubic root of 116123136 is about 487.8724023650.

Adding to 116123136 its reverse (631321611), we get a palindrome (747444747).

The spelling of 116123136 in words is "one hundred sixteen million, one hundred twenty-three thousand, one hundred thirty-six".