117554000 has 80 divisors (see below), whose sum is σ = 289869840. Its totient is φ = 46092800.

The previous prime is 117553999. The next prime is 117554027. The reversal of 117554000 is 455711.

It can be written as a sum of positive squares in 8 ways, for example, as 62853184 + 54700816 = 7928^2 + 7396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105446 + ... + 106554.

It is an arithmetic number, because the mean of its divisors is an integer number (3623373).

Almost surely, 2^117554000 is an apocalyptic number.

117554000 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 117554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934920).

117554000 is an abundant number, since it is smaller than the sum of its proper divisors (172315840).

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

117554000 is a wasteful number, since it uses less digits than its factorization.

117554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 117554000 is about 10842.2322424859. The cubic root of 117554000 is about 489.8680749939.

The spelling of 117554000 in words is "one hundred seventeen million, five hundred fifty-four thousand".