117145600 has 192 divisors, whose sum is σ = 341306280. Its totient is φ = 39321600.

The previous prime is 117145597. The next prime is 117145603. The reversal of 117145600 is 6541711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117145597) and next prime (117145603).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117145603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9011194 + ... + 9011206.

Almost surely, 2^117145600 is an apocalyptic number.

117145600 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 117145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170653140).

117145600 is an abundant number, since it is smaller than the sum of its proper divisors (224160680).

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

117145600 is an equidigital number, since it uses as much as digits as its factorization.

117145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 117145600 is about 10823.3820961842. The cubic root of 117145600 is about 489.3001253655.

The spelling of 117145600 in words is "one hundred seventeen million, one hundred forty-five thousand, six hundred".