118130400 has 180 divisors, whose sum is σ = 431034912. Its totient is φ = 31484160.

The previous prime is 118130377. The next prime is 118130413. The reversal of 118130400 is 4031811.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63889 + ... + 65711.

Almost surely, 2^118130400 is an apocalyptic number.

118130400 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 118130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

118130400 is an abundant number, since it is smaller than the sum of its proper divisors (312904512).

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

118130400 is a wasteful number, since it uses less digits than its factorization.

118130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 118130400 is about 10868.7809804044. The cubic root of 118130400 is about 490.6674231374.

The spelling of 118130400 in words is "one hundred eighteen million, one hundred thirty thousand, four hundred".