136401400 has 96 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 52715520.

The previous prime is 136401389. The next prime is 136401427. The reversal of 136401400 is 4104631.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1406152 + ... + 1406248.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 2^136401400 is an apocalyptic number.

136401400 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 136401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

136401400 is an abundant number, since it is smaller than the sum of its proper divisors (191702600).

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

136401400 is a wasteful number, since it uses less digits than its factorization.

136401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 136401400 is about 11679.1009927991. The cubic root of 136401400 is about 514.7617586590.

The spelling of 136401400 in words is "one hundred thirty-six million, four hundred one thousand, four hundred".