136872100 has 36 divisors (see below), whose sum is σ = 314487684. Its totient is φ = 51527680.

The previous prime is 136872097. The next prime is 136872107. The reversal of 136872100 is 1278631.

It can be written as a sum of positive squares in 6 ways, for example, as 16048036 + 120824064 = 4006^2 + 10992^2 .

It is not an unprimeable number, because it can be changed into a prime (136872107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38557 + ... + 41956.

It is an arithmetic number, because the mean of its divisors is an integer number (8735769).

Almost surely, 2^136872100 is an apocalyptic number.

136872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136872100 is an abundant number, since it is smaller than the sum of its proper divisors (177615584).

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

136872100 is a wasteful number, since it uses less digits than its factorization.

136872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80544 (or 80537 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 136872100 is about 11699.2350177266. The cubic root of 136872100 is about 515.3531997575.

The spelling of 136872100 in words is "one hundred thirty-six million, eight hundred seventy-two thousand, one hundred".