136085400 has 384 divisors, whose sum is σ = 535680000. Its totient is φ = 31449600.

The previous prime is 136085377. The next prime is 136085473. The reversal of 136085400 is 4580631.

136085400 is a `hidden beast` number, since 1 + 3 + 608 + 54 + 0 + 0 = 666.

136085400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1722561 + ... + 1722639.

It is an arithmetic number, because the mean of its divisors is an integer number (1395000).

Almost surely, 2^136085400 is an apocalyptic number.

136085400 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 136085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

136085400 is an abundant number, since it is smaller than the sum of its proper divisors (399594600).

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

136085400 is a wasteful number, since it uses less digits than its factorization.

136085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136085400 is about 11665.5647098630. The cubic root of 136085400 is about 514.3639365146.

The spelling of 136085400 in words is "one hundred thirty-six million, eighty-five thousand, four hundred".