117158400 has 300 divisors, whose sum is σ = 437449122. Its totient is φ = 30965760.

The previous prime is 117158381. The next prime is 117158413. The reversal of 117158400 is 4851711.

117158400 is a `hidden beast` number, since 11 + 71 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 49787136 + 67371264 = 7056^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 29 ways as a sum of consecutive naturals, for example, 1036744 + ... + 1036856.

Almost surely, 2^117158400 is an apocalyptic number.

117158400 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 117158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218724561).

117158400 is an abundant number, since it is smaller than the sum of its proper divisors (320290722).

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

117158400 is an equidigital number, since it uses as much as digits as its factorization.

117158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 117158400 is about 10823.9733924285. The cubic root of 117158400 is about 489.3179459623.

The spelling of 117158400 in words is "one hundred seventeen million, one hundred fifty-eight thousand, four hundred".