118142400 has 168 divisors, whose sum is σ = 392566144. Its totient is φ = 31104000.

The previous prime is 118142389. The next prime is 118142419. The reversal of 118142400 is 4241811.

It is a happy number.

It is a congruent number.

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, 724719 + ... + 724881.

Almost surely, 2^118142400 is an apocalyptic number.

118142400 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 118142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196283072).

118142400 is an abundant number, since it is smaller than the sum of its proper divisors (274423744).

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

118142400 is a wasteful number, since it uses less digits than its factorization.

118142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 118142400 is about 10869.3330062152. Note that the first 3 decimals coincide. The cubic root of 118142400 is about 490.6840370085.

The spelling of 118142400 in words is "one hundred eighteen million, one hundred forty-two thousand, four hundred".