136934682200 has 96 divisors (see below), whose sum is σ = 320867692320. Its totient is φ = 54345600000.

The previous prime is 136934682173. The next prime is 136934682217. The reversal of 136934682200 is 2286439631.

136934682200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136934682200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30831980 + ... + 30836420.

It is an arithmetic number, because the mean of its divisors is an integer number (3342371795).

Almost surely, 2^136934682200 is an apocalyptic number.

136934682200 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 136934682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160433846160).

136934682200 is an abundant number, since it is smaller than the sum of its proper divisors (183933010120).

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

136934682200 is a wasteful number, since it uses less digits than its factorization.

136934682200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 136934682200 in words is "one hundred thirty-six billion, nine hundred thirty-four million, six hundred eighty-two thousand, two hundred".