136968300 has 144 divisors (see below), whose sum is σ = 503301120. Its totient is φ = 31302720.

The previous prime is 136968281. The next prime is 136968313. The reversal of 136968300 is 3869631.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15277 + ... + 22523.

Almost surely, 2^136968300 is an apocalyptic number.

136968300 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 136968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251650560).

136968300 is an abundant number, since it is smaller than the sum of its proper divisors (366332820).

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

136968300 is a wasteful number, since it uses less digits than its factorization.

136968300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7264 counting only the distinct ones).

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

The square root of 136968300 is about 11703.3456754896. The cubic root of 136968300 is about 515.4739094502.

The spelling of 136968300 in words is "one hundred thirty-six million, nine hundred sixty-eight thousand, three hundred".