118725600 has 288 divisors, whose sum is σ = 455970816. Its totient is φ = 26265600.

The previous prime is 118725587. The next prime is 118725611. The reversal of 118725600 is 6527811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621505 + ... + 621695.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^118725600 is an apocalyptic number.

118725600 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 118725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

118725600 is an abundant number, since it is smaller than the sum of its proper divisors (337245216).

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

118725600 is a wasteful number, since it uses less digits than its factorization.

118725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 118725600 is about 10896.1277525550. The cubic root of 118725600 is about 491.4901188720.

The spelling of 118725600 in words is "one hundred eighteen million, seven hundred twenty-five thousand, six hundred".