116145920 has 144 divisors (see below), whose sum is σ = 310377312. Its totient is φ = 41287680.

The previous prime is 116145919. The next prime is 116145937. The reversal of 116145920 is 29541611.

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, 1027784 + ... + 1027896.

It is an arithmetic number, because the mean of its divisors is an integer number (2155398).

Almost surely, 2^116145920 is an apocalyptic number.

116145920 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 116145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155188656).

116145920 is an abundant number, since it is smaller than the sum of its proper divisors (194231392).

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

116145920 is a wasteful number, since it uses less digits than its factorization.

116145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 116145920 is about 10777.1016511862. The cubic root of 116145920 is about 487.9043080309.

The spelling of 116145920 in words is "one hundred sixteen million, one hundred forty-five thousand, nine hundred twenty".