118125600 has 144 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 31068160.

The previous prime is 118125599. The next prime is 118125629. The reversal of 118125600 is 6521811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198904 + ... + 199496.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2^118125600 is an apocalyptic number.

118125600 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 118125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

118125600 is an abundant number, since it is smaller than the sum of its proper divisors (271661952).

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

118125600 is a wasteful number, since it uses less digits than its factorization.

118125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 118125600 is about 10868.5601622294. The cubic root of 118125600 is about 490.6607772739.

The spelling of 118125600 in words is "one hundred eighteen million, one hundred twenty-five thousand, six hundred".