136078800 has 360 divisors, whose sum is σ = 523368288. Its totient is φ = 29952000.

The previous prime is 136078793. The next prime is 136078801. The reversal of 136078800 is 8870631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136078801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2230770 + ... + 2230830.

Almost surely, 2^136078800 is an apocalyptic number.

136078800 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 136078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261684144).

136078800 is an abundant number, since it is smaller than the sum of its proper divisors (387289488).

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

136078800 is a wasteful number, since it uses less digits than its factorization.

136078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 136078800 is about 11665.2818225708. The cubic root of 136078800 is about 514.3556210086.

The spelling of 136078800 in words is "one hundred thirty-six million, seventy-eight thousand, eight hundred".