136414400 has 42 divisors (see below), whose sum is σ = 335668620. Its totient is φ = 54565120.

The previous prime is 136414393. The next prime is 136414427. The reversal of 136414400 is 4414631.

136414400 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41030 + ... + 44229.

It is an arithmetic number, because the mean of its divisors is an integer number (7992110).

Almost surely, 2^136414400 is an apocalyptic number.

136414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136414400 is an abundant number, since it is smaller than the sum of its proper divisors (199254220).

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

136414400 is an equidigital number, since it uses as much as digits as its factorization.

136414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85281 (or 85266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 136414400 is about 11679.6575292258. The cubic root of 136414400 is about 514.7781115954.

The spelling of 136414400 in words is "one hundred thirty-six million, four hundred fourteen thousand, four hundred".