117054000 has 240 divisors, whose sum is σ = 467737920. Its totient is φ = 26726400.

The previous prime is 117053933. The next prime is 117054001. The reversal of 117054000 is 450711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (117054001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 125536 + ... + 126464.

It is an arithmetic number, because the mean of its divisors is an integer number (1948908).

Almost surely, 2^117054000 is an apocalyptic number.

117054000 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 117054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233868960).

117054000 is an abundant number, since it is smaller than the sum of its proper divisors (350683920).

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

117054000 is a wasteful number, since it uses less digits than its factorization.

117054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 117054000 is about 10819.1496893240. The cubic root of 117054000 is about 489.1725588198.

The spelling of 117054000 in words is "one hundred seventeen million, fifty-four thousand".