136000800 has 216 divisors, whose sum is σ = 516818484. Its totient is φ = 33454080.

The previous prime is 136000783. The next prime is 136000801. The reversal of 136000800 is 8000631.

It can be written as a sum of positive squares in 6 ways, for example, as 64834704 + 71166096 = 8052^2 + 8436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (136000801) 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, 92874 + ... + 94326.

Almost surely, 2^136000800 is an apocalyptic number.

136000800 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 136000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258409242).

136000800 is an abundant number, since it is smaller than the sum of its proper divisors (380817684).

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

136000800 is a wasteful number, since it uses less digits than its factorization.

136000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136000800 is about 11661.9380893572. The cubic root of 136000800 is about 514.2573264754.

The spelling of 136000800 in words is "one hundred thirty-six million, eight hundred", and thus it is an aban number.