117385200 has 150 divisors (see below), whose sum is σ = 421402344. Its totient is φ = 31294080.

The previous prime is 117385159. The next prime is 117385217. The reversal of 117385200 is 2583711.

It is a tau number, because it is divible by the number of its divisors (150).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30589 + ... + 34211.

Almost surely, 2^117385200 is an apocalyptic number.

117385200 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 117385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210701172).

117385200 is an abundant number, since it is smaller than the sum of its proper divisors (304017144).

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

117385200 is a wasteful number, since it uses less digits than its factorization.

117385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117385200 is about 10834.4450711608. The cubic root of 117385200 is about 489.6334896354.

The spelling of 117385200 in words is "one hundred seventeen million, three hundred eighty-five thousand, two hundred".