117552000 has 256 divisors, whose sum is σ = 407347200. Its totient is φ = 29952000.

The previous prime is 117551999. The next prime is 117552007. The reversal of 117552000 is 255711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117552007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487961 + ... + 1488039.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 2^117552000 is an apocalyptic number.

117552000 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 117552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203673600).

117552000 is an abundant number, since it is smaller than the sum of its proper divisors (289795200).

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

117552000 is an equidigital number, since it uses as much as digits as its factorization.

117552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 117552000 is about 10842.1400101640. The cubic root of 117552000 is about 489.8652968616.

The spelling of 117552000 in words is "one hundred seventeen million, five hundred fifty-two thousand".