136274400 has 216 divisors, whose sum is σ = 499046184. Its totient is φ = 36288000.

The previous prime is 136274389. The next prime is 136274401. The reversal of 136274400 is 4472631.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136274401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194050 + ... + 194750.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^136274400 is an apocalyptic number.

136274400 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 136274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249523092).

136274400 is an abundant number, since it is smaller than the sum of its proper divisors (362771784).

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

136274400 is an equidigital number, since it uses as much as digits as its factorization.

136274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 136274400 is about 11673.6626643055. The cubic root of 136274400 is about 514.6019483651.

The spelling of 136274400 in words is "one hundred thirty-six million, two hundred seventy-four thousand, four hundred".