117135616 has 72 divisors (see below), whose sum is σ = 256370744. Its totient is φ = 53084160.

The previous prime is 117135583. The next prime is 117135649. The reversal of 117135616 is 616531711.

It is an interprime number because it is at equal distance from previous prime (117135583) and next prime (117135649).

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 110166016 = 2640^2 + 10496^2 .

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 7 ways as a sum of consecutive naturals, for example, 202720 + ... + 203296.

Almost surely, 2^117135616 is an apocalyptic number.

117135616 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 117135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128185372).

117135616 is an abundant number, since it is smaller than the sum of its proper divisors (139235128).

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

117135616 is an equidigital number, since it uses as much as digits as its factorization.

117135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its digits is 3780, while the sum is 31.

The square root of 117135616 is about 10822.9208626877. The cubic root of 117135616 is about 489.2862243989.

The spelling of 117135616 in words is "one hundred seventeen million, one hundred thirty-five thousand, six hundred sixteen".