136936800 has 864 divisors, whose sum is σ = 682456320. Its totient is φ = 24883200.

The previous prime is 136936799. The next prime is 136936829. The reversal of 136936800 is 8639631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7207191 + ... + 7207209.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^136936800 is an apocalyptic number.

136936800 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 136936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

136936800 is an abundant number, since it is smaller than the sum of its proper divisors (545519520).

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

136936800 is a wasteful number, since it uses less digits than its factorization.

136936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136936800 is about 11701.9998290890. Note that the first 3 decimals coincide. The cubic root of 136936800 is about 515.4343901525.

The spelling of 136936800 in words is "one hundred thirty-six million, nine hundred thirty-six thousand, eight hundred".